Simplifying Radicals

Single Expression

100

Simplify √200

 10√2

200

Simplify √98

 7√2

300

Simplify √75

5√3

400

Simplify -3√120

 -6√30

500

Simplify 5√320

 40√5

Variable Factors

100

Simplify √28n² 

 2n√7

200

Simplify 3√12x² 

 6x√3

300

√4n³

 2n√n

400

√20a⁵

 2a²√5a

500

-√48b⁴

 -4b²√3

Multiplying Two Radicals

100

√10*√30

 10√3

200

2√18*7√6

 84√3

300

-3√20*√15

 -30√3

400

√8n*√9n

 6n√2

500

-2√6a^{3  *}  √3a

 -6a²√2

Fractions in Radicals

100

√5/9a²

 √5/3a

200

√3/4

 √3/2

300

√54/24

 3/2

400

√63y/7y³

 3/y

500

√3s³/27s

 s/3

Rationalizing the Denominator

100

1/√2

 √2/2

200

√3/√7x

 √21x/7x

300

9/√8

 9√2/4

400

5√6/√5

 √30

500

3√12/√3

 6