Adding & Subtracting Radicals

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the inverse operation of exponentiation.

Front

How do you simplify a radical?

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To simplify a radical, factor the number under the root into its prime factors, and then extract any perfect squares (or cubes) from under the radical.

Front

What does it mean for radicals to be like terms?

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Front

What is the process for adding radicals?

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To add radicals, first simplify each radical if possible. Then, combine like terms (radicals with the same index and radicand).

Front

What is the process for subtracting radicals?

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To subtract radicals, simplify each radical first. Then, subtract like terms (radicals with the same index and radicand).

Front

Simplify @@2 ext{ } oot{2}{80}-6 ext{ } oot{2}{20}@@.

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Front

What is the result of @@ oot{2}{300} + oot{2}{75}@@?

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What is the result of @@3^{3} oot{2}{54}-2^{3} oot{2}{2}+7^{3} oot{2}{-16}@@?

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Can @@10 ext{ } oot{2}{5}+10 ext{ } oot{2}{3}@@ be simplified?

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Front

What is the result of @@5 ext{ } oot{2}{75} + 8 ext{ } oot{2}{27}@@?

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