# What are the rules for simplifying radicals?

## What are the rules for simplifying radicals?

A radical is said to be in simplified radical form (or just simplified form) if each of the following are true. All exponents in the radicand must be less than the index….Rules of Radicals.

1. Inverse Property n√ an = a if n is odd or n√ an = | a | if n is even
2. Product Rule n√ ab = n√ a · n√ b
3. Quotient Rule

## Why is simplifying radicals important?

Simplifying radical expressions expression is important before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn’t simplified the radical expressions, we would not have come to this solution. In a way, this is similar to what would be done for polynomial expression.

### What are the two steps for simplifying radicals?

The first law of exponents is x a x b = x a+b.

• To find the product of two monomials multiply the numerical coefficients and apply the first law of exponents to the literal factors.
• To multiply a polynomial by another polynomial multiply each term of one polynomial by each term of the other and combine like terms.
• ### What are some ways to simplify radicals?

a. Simplify the fraction inside the radical first. Divide the like bases by subtracting the exponents. Simplify. b. Use the Quotient Property of exponents to simplify the fraction under the radical first. Simplify. Use the Quotient Property of exponents to simplify the fraction under the radical first.