Assessment - Multiplying and Dividing Radicals

Front

What is a radical?

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 * √b?

Back

√a * √b = √(a * b).

Front

What is the product of two square roots?

Back

The product of two square roots is the square root of the product of the numbers: √a * √b = √(ab).

Front

How do you simplify √(a^2)?

Back

√(a^2) = |a| (the absolute value of a).

Front

What is the result of multiplying √a by itself?

Back

√a * √a = a.

Front

How do you divide radicals?

Back

To divide radicals, you can use the property: √a / √b = √(a/b).

Front

What is the simplified form of √(a^2 * b)?

Back

√(a^2 * b) = a√b.

Tags

CCSS.HSN.RN.A.2

Front

How do you simplify 2√3 * 4√2?

Back

2√3 * 4√2 = 8√6.

Front

What is the simplified form of √(x^2) when x is negative?

Back

√(x^2) = -x when x < 0.

Front

How do you simplify √(12)?

Back

√(12) = √(4 * 3) = 2√3.