Warm up Simplify 1. i 57 2. i 56 3. (3 + i)(4 – 2i) 4.

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Presentation transcript:

Warm up Simplify 1. i i (3 + i)(4 – 2i) 4.

Questions over HW?

N TH ROOTS & RATIONAL EXPONENTS

Parts of a radical No number where the root is means it’s a square root (2)

Simplifying Radicals Break down the radicand in to prime factors. Bring out groups by the number of the root.

Simplify

REWRITING A RADICAL TO HAVE A RATIONAL EXPONENT

Rewriting Radicals to Rational Exponents Power is on top Roots are in the ground

Rewrite with a Rational Exponent

Rewriting Rational Exponents to Radicals

Rewrite with a Rational Exponent (don’t evaluate)

SIMPLIFY Sometimes you can simplify in the calculator. KNOW how to do it by hand!!  Change to a radical  Prime Factor  Bring out groups of the root

SIMPLIFY

18. The cube below has a volume of 343 cubic inches. Find the length of an edge of the cube.

19. The volume of a basketball is approximately cubic inches. Find the radius of the basketball to the nearest tenth.

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