Simplifying Radicals

Single Expression

100

Simplify √200

What is 10√2

200

Simplify √98

What is 7√2

300

Simplify √75

What is 5√3

400

Simplify -3√120

What is -6√30

500

Simplify 5√320

What is 40√5

Variable Factors

100

Simplify √28n² 

What is 2n√7

200

Simplify 3√12x² 

What is 6x√3

300

√4n²

What is 2n√n

400

√20a⁵

What is 2a²√5a

500

-√48b⁴

What is -4b²√3

Multiplying Two Radicals

100

√10*√30

What is 10√3?

200

2√18*7√6

What is 84√3?

300

-3√20*√15

What is -30√3?

400

√8n*√9n

What is 6n√2?

500

-2√6a^{3  *}  √3a

What is -6a²√2

Fractions in Radicals

100

√5/9a²

What is √5/3a

200

√3/4

What is √3/2

300

√54/24

What is 3/2

400

√63y/7y³

What is 3/y

500

√3s³/27s

What is s/3

Rationalizing the Denominator

100

1/√2

What is √2/2

200

√3/√7x

What is √21x/7x

300

9/√8

What is 9√2/4

400

5√6/√5

What is √30

500

3√12/√3

What is 6