How to multiply and simplify radicals with variables?

The product of two radicals is not an algebraic expression. It’s a radical expression. Fortunately, you can simplify radicals using the radical exponentiation method. The trick is to represent the radical exponentiation of the first radical as the product of two other, simpler radicals.

How to simplify radicals with variables?

This problem is easier if the roots under the radical are in pairs. Then if you know two roots, you can use the square root law to find the remaining roots. If they are not in pairs, you can use some other techniques to find them. One of the most common is to use the trigonometric identity sin2-α+cos2-α=1 to simplify the radical.

What is the formula to multiply radical with variable?

While multiplying radicals with non-numbers is not possible, multiplying radicals with variables is possible. The standard method to multiply radical with variable is to use the reciprocal or fractional exponent. In order to multiply radical with variable, you will need the exponent on top of the variable.

How to simplify radical with variable?

If you want to simplify a radical with a variable, you can use the standard techniques that are applied to radices. Since the radicand is raised to just the exponent, you can simplify the result using the exponent rules. In addition, you can apply the square root rule to the square root of the radical to simplify the radical.

How to multiply and simplify radicals with variables in word?

Using a calculator or the built-in calculator function in your word processor is the easiest way to do this. If you don’t have this function, you can use the free downloadable app, WolframAlpha. It’s a great tool for solving all sorts of algebraic equations—and it can solve radical expressions! If you’re working with a long equation, you can copy the equation into the search box and then copy the result into your document as a variable.