How to multiply two radicals with variables?

You can multiply two radicals with variables by treating each variable as an index. So, for example, if you have two radicals with the same variable on each side, you can replace each instance of the variable with that index and, voila, you have your answer! If you have different variables on each side of the radical, you’ll need to perform a little bit more work.

How to multiply two radicals with variables algebraically?

If two radicals have variables that you’re trying to solve for, you can use algebraic techniques to solve them. For example, you can use the square root properties to find the square root of the product of two radical expressions with variables. You can also use the square root properties to find the square root of a negative number raised to an exponent.

How to multiply a mixed radical of squares and cubes with a variable?

As with any radical, the trick is to break it down into its component parts first. This is accomplished by multiplying the radical by itself first. Then, the square root of the whole result is taken. Finally, the cube root of the remaining number is multiplied by the square root of the original radical. The result is your final answer.

How to multiply two radicals with variables on a number line?

The easiest way to solve radical equations with variables is on a number line, a line with numbers on it. Using a number line with a horizontal line drawn from 0 to infinity at one end, you can compare whether the number under the radical equals the number over the radical. If so, the two radical expressions are equal to each other; if not, they are not equal.

How to multiply a mixed radical of

A mixed radical is a radical with a radical in the exponent. For example, the radical is a radical of for so it can be written as (or simply ). If you need to multiply two mixed radicals, you just add the exponents of the two radicals together to find the exponent of the product. For example, to find you would simply add the exponents of and to find that so is the solution.