**How To Multiply Radicals With Different Roots**. The two radicals have different roots, so you cannot multiply the product of the radicands and put it under the same radical sign. To multiply radicals you can use the product property of square roots to multiply the contents of each radical together.

Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it. By doing this, the bases now have the same roots and their terms can be multiplied together. Full answer is here.also know, can you multiply radicals with different radicands?

Table of Contents

### Before The Terms Can Be Multiplied Together, We Change The Exponents So They Have A Common Denominator.

Can you multiply roots with different indexes? To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. Next, we write the problem using root symbols and then simplify.

### Also Asked, Can You Multiply Radicals With Different Bases?

Sample question #2 when you multiply square roots, you can multiply the numbers inside the square root. Radicals quantities such as square, square roots, cube root, etc. Can be multiplied like other quantities.

### To Simplify Two Radicals With Different Roots, We First Rewrite The Roots As Rational Exponents.

The two radicals have different roots, so you cannot multiply the product of the radicals and put them under the same radical. #sqrt5= root(6)(5^3)=root(6)125# #root(3)2=root(6)(2^2)=root(6)4# so #sqrt5*root. You can rename this fraction without changing its value, if you multiply it by 1.

### Equations Inequalities System Of Equations System Of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Pi (Product) Notation.

Before the terms can be multiplied together, we change the exponents so they have a common denominator. The two radicals have different roots, so you cannot multiply the product of the radicands and put it under the same radical sign. Multiply the values under the radicals.

### What We Have Behind Me Is A Product Of Three Radicals And There Is A Square Root, A Fourth Root And Then Third Root.

Remember that every root can be written as a fraction, with the denominator indicating the root's power. Now that we know how to simplify radicals, let's briefly look at how to multiply radicals and multiply square roots before doing some example problems. To simplify two radicals with different roots, we first rewrite the roots as rational exponents.