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

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Presentation transcript:

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

Questions over HW?

Nth Roots & Rational Exponents

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

Simplify

Simplify

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

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewriting Rational Exponents to Radicals

Rewrite with a Rational Exponent (don’t evaluate)

Rewrite with a Rational Exponent (don’t evaluate)

Rewrite with a Rational Exponent (don’t evaluate)

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

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

18. The cube below has a volume of 343 cubic inches 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 448. 9 cubic inches 19. The volume of a basketball is approximately 448.9 cubic inches. Find the radius of the basketball to the nearest tenth.

Get in to your groups please. Worksheet Get in to your groups please.