12/4 Exit Ticket Rationalizing the Denominator - Square Roots

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any square roots or irrational numbers from the denominator of a fraction by multiplying the numerator and denominator by a suitable value.

Front

Simplify: 2/√3

Back

2√3/3

Front

What is √a × √b?

Back

√(a × b) - The product of two square roots is the square root of the product of the numbers.

Front

Simplify: √(16)

Back

4

Front

What is the value of √(x^2)?

Back

|x| - The square root of a variable squared is the absolute value of that variable.

Front

Simplify: √(a^2b)

Back

a√b - The square root of a product can be separated into the product of the square roots.

Front

What is the square root of 75?

Back

5√3 - 75 can be simplified as 25 × 3, and √25 = 5.

Front

Simplify: 4√75

Back

20√3 - 4√(25 × 3) = 4 × 5√3 = 20√3.

Front

What is the result of √(10) × √(45)?

Back

15√2 - √(10 × 45) = √450 = √(225 × 2) = 15√2.

Front

What is the square root of a fraction?

Back

√(a/b) = √a/√b - The square root of a fraction is the square root of the numerator divided by the square root of the denominator.