Simplify expression. Assume all variables represent positive real numbers. See Examples 1,...

Simplify expression. Assume all variables represent positive real numbers. See Examples 1, 4–6, and 8–11.

EXAMPLE 1

EVALUATING ROOTS

EXAMPLE 4

USING ABSOLUTE VALUE TO SIMPLIFY ROOTS

EXAMPLE 5

USING THE RULES FOR RADICALS TO SIMPLIFY RADICAL EXPRESSIONS

EXAMPLE 6

SIMPLIFYING RADICALS

EXAMPLE 8

SIMPLIFYING RADICALS BY WRITING THEM WITH RATIONAL EXPONENTS

EXAMPLE 9

MULTIPLYING RADICAL EXPRESSIONS

EXAMPLE 10

RATIONALIZING DENOMINATORS

EXAMPLE 11

SIMPLIFYING RADICAL EXPRESSIONS WITH FRACTIONS