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This helpful guide covers simplifying radicals, rewriting with rational exponents, and calculating volumes based on geometric shapes. Learn how to break down radicals, convert between radicals and exponents, and solve volume equations efficiently. Practice problems included for a thorough understanding. Whether you need help with square roots or nth roots, this resource is your go-to for mastering radical expressions and volumes.
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Warm up Simplify • i57 • i56 • (3 + i)(4 – 2i) • Find the exact Volume
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.
Rewriting Radicals to Rational Exponents Power is on top Roots are in the ground
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
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. Find the radius of the basketballto the nearest tenth.