# Rational Exponents and Radical Equations

**A.10 nth Roots and Rational Exponents
**

if n ≥ 3 and n is odd

if n ≥ 2 and n is even

If n ≥ 2 and m ≥ 2 and the radicals are defined , then

** Simplify a radical :
**Remove any perfect roots from the radicand.

No fractions under the radicand.

No radicals in the denominator .

Simplify :

pA87 #18:

** Radical Equations :** put radical on one side and then
undo by exponent.

** Rational Exponents :** Use rules of exponents to
solve.

Note that:

pg 88 #72:

ANS: |

pg 88 #78

ANS: |

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