Radicals Search Results

How To: Simplify radicals & square roots using exponent rules

See how to apply exponent rules to simplify radicals or square roots with this free video math lesson from Internet pedagogical superstar Simon Khan. Looking for a primer on how to solve matrix problems using a TI-89 graphing calculator? See how it's done with this free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follo...

How To: Rationalize the denominators of radicals in math

Need some help figuring out how to the rationalize denominators in prealgebra? From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test).

How To: Rationalize the denominators of radicals in prealgebra

Looking for some help on rationalizing denominators? See how it's done with this free video prealgebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test).

How To: Simplify rational radicals

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this free math lesson, you'll learn how to simplify rational radical expressions.

How To: Add and subtract radicals

Radicals are square roots which are not integers; the square roots of 2 or 3 are examples of radicals. The presenters show simple ways of how to add and subtract such radicals. They explain that by using the method of factoring, the addition or subtraction is made very easy. If the square root of 8, for instance, is in some addition sum, it can be factored into the square root of 4 times the square root 2. Since we know that the square root of 4 is 2 this can be simplified to be 2 times the s...

How To: Multiply similar radicals

This video shows how to multiply similar radicals. The basics of doing this is to multiply the root of the radicals. For instance, if you have the cubed root of 14 multiplied by the cubed root of 3, you would only multiply the root numbers. Thus, your answer would be the cubed root of 42. The exercises in this video show a few basic examples, but they can help you down the road when completing more complex problems that involve multiplying similar radicals.

How To: Divide similar radicals

While dividing the radicals, the numerator and the denominator must be combined into a single term, for example if we want to divide square root of 3 by square root of seven we need to combine the numerator and denominator into a single factor that is square root of 3/7, then we can divide 3/7 which is 0.4285, and square root of 0.4285 is 0.654 which is the final answer.

How To: Simplify radicals before adding or subtracting

This video in the Education category will show you how to simplify radicals before adding or subtracting. By doing this you will find all like radicals which will then ensure that you have all radicals in the simplest form. Let’s say you want to subtract square root of 45 from 3 square roots of 20. Now square root of 45 can be written as square root of 9 x square root of 5. Because, 9 and 5 are factors of 45. Similarly, 3 square roots of 20 can be simplified to 3 x square root of 4 x square r...

How To: Simplify expressions involving algebraic radicals

In this video tutorial, viewers learn how to simplify expressions involving algebraic ratios. In some ways, simplifying algebraic radicals is easier than numeric radicals. When we are working with square roots, we need to find the highest even power of a variable to act as out perfect square. When working with cube roots, we look for the highest multiple of 3 as an exponent for our perfect square. This video is very descriptive and clearly explains all the functions of the formula. This video...

How To: Antidifferentiate functions with radicals in calculus

This video demonstrates how to do anti-differentiate functions with radicals in calculus. To simply problems, try to substitute. For example, in the problem, the integral of x times the square root of x plus 2 dx. You can substitute w for everything underneath the radical: i.e. x + 2. When you simplify, it becomes: the integral of x times the square root of w dw. Now, you need to get rid of the x, which you can do with a substitution: w – 2 = x. Now, plug in the values and simplify it.

How To: Simplify expressions involving numeric radicals

In this video tutorial, viewers learn how to simplify expressions involving numeric radicals. This can be very frustrating to work with if you have not memorized the tables of square, cubes and fourths. If you are taking the square root of a number that is not a perfect square and you wish to simplify it, the key is to write it as the product of a perfect square or another number. This video is very descriptive and clearly explains the functions of the formula. This video will benefit those v...

How To: Square expressions involving radicals

Here we look at squaring expressions that involve radicals because people tend to make some common mistakes while solving such expressions. Take 5 times the square root of y quantity squared, the answer here is not 5y. Here's the reason, square means to multiply something with itself so the square of 5 root y would be 5 root y into 5 root y. So 5 x 5 is 25 and under root y into under root y equals just y so the answer will be 25y.

How To: Understand nth roots and operations on radicals

This video teaches us the concept of nth roots. The video starts with the square root of constants. We find the number which when multiplies by itself for two times results in the constant inside the square root. Then we find the square root of variables. Here again the same concept is used. We find the variable which when multiplied by itself for two times results in the given variable. Then we find the cube root. Here we find the number which when multiplied by itself for three times result...

How To: Multiply radicals in algebra

Looking for a primer on how to multiply two or more radicals? See how it's done with this free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Simplify radicals which are not perfect squares

Need help reducing radical expressions without perfect square or cube roots? Take heart: this free math lesson will ensure that you know everything you need to know for that next big test. Examples include square roots, cube roots, and 4th roots. You'll also learn a technique to simplify n-root expressions as well as how to simplify variables in radical expressions.

How To: Write Chinese radicals

Although it is not the easiest language to learn to speak there are a few pieces of advice that can help you along your way of learning to speak in Chinese. Our expert, Bo Feng, will show you how to write many different types of Chinese characters and radicals. Write Chinese radicals - Part 1 of 16.

How To: Solve radical equations easily

In this video, the instructor demonstrates how to solve radical equations and inequalities. If you have an equation that contains radicals, re-,arrange the equation so that all the radicals are on one side and the integers are on the other side. To cancel a square root from an equation, square both sides of the equation. The square of the equation cancels out the square root, thereby removing the radical. Even after squaring if you still have a radical left, treat it as a new problem and appl...

How To: Simplify radical expressions

In this video the instructor shows who to simplify radicals. If you have a term inside a square root the first thing you need to do is try to factorize it. First factorize the numerical term. Write down the numerical terms as a product of any perfect squares. Now split the original radical expression in the form of individual terms of different variables. Now you can pull out the perfect square numerical factors out of the radical. Similarly for the variable terms write the variables as power...

How To: Simplify square roots in math

In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need to find a number which multiplied by itself gives the original number under the root. For example, to find the square root of 9, you need to find a number which multiplied by itself gives 9. Here the answer is 3. When 3...

How To: Use the quadratic formula to solve algebraic equations

Using the quadratic formula to solve equations may bring one, two, or no algebraic solutions. The quadratic formula is special to quadratic equations, which can have fractions, radicals, or neverending decimals. Learn how to solve quadratic equations using the quadratic formula with this free video algebra lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's ea...

How To: Tea-tox

Feeling like you need to rid your body of a few toxins? A nice, hot cup of tea isn't just soothing; some varieties have health and diet benefits. See which brew might be right for you. Learn how to tea-tox with help from this video.

Ingredients 101: How & Why You Should Clarify Butter

Unless you're vegan or lactose intolerant, butter is an indispensible ingredient. However, butter is no one-trick pony. It can take many forms that make it even more versatile and useful in the kitchen. Clarified butter has many advantages over regular butter—but there are certain cases where you shouldn't use it. More on that later.

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