Operations with Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What is the square root of 16?

Back

The square root of 16 is 4, since 4 x 4 = 16.

Tags

CCSS.8.EE.A.2

Front

What is the product of two radicals?

Back

Front

Back

Front

How do you divide radical expressions?

Back

Tags

CCSS.HSN.RN.A.2

Front

Back

Tags

CCSS.HSN.RN.A.2

Front

What is the formula for multiplying two binomials that include radicals?

Back

The formula is (a + b)(c + d) = ac + ad + bc + bd. Apply this to radicals as well.

Front

What is the simplified form of (7 − √2)(5 + √3)?

Back

Tags

CCSS.HSN.RN.A.2

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction.

Tags

CCSS.HSN.RN.A.2