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.

Tags

CCSS.5.NBT.A.2

Front

How do you simplify a radical?

Back

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?

Back

Front

What is the process for adding radicals?

Back

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?

Back

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}@@.

Back

Front

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

Back

Front

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

Back

Tags

CCSS.HSN.RN.A.2

Front

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

Back

Front

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

Back