Operations with Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x or ∛y.

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 of factors. For example, √18 can be simplified to 3√2.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction. This is done by multiplying the numerator and denominator by a suitable radical.

Front

Simplify: √50

Back

√50 = 5√2.

Front

What is the perimeter of a rectangle with length 2√3 m and width √6 m?

Back

Perimeter = 2(length + width) = 2(2√3 + √6) = 4√3 + 2√6 m.

Tags

CCSS.7.EE.B.3

Front

Simplify: √(a^2)

Back

√(a^2) = a, where a is a non-negative number.

Front

What is the product of two radical expressions?

Back

The product of two radical expressions can be simplified by multiplying the numbers under the radicals. For example, √a * √b = √(ab).

Front

Simplify: 4√5 - 5√2

Back

The expression is already in its simplest form.

Front

What is the value of √(49)?

Back

√(49) = 7.

Tags

CCSS.8.EE.A.2

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms. For example, 2√3 + 3√3 = 5√3.