Radicals Review

Simplifying Radicals

100

Simplify the following radical:

sqrt(144)

12

200

Simplify the following radical:

sqrt(72)

6sqrt(2)

300

Simplify the following radical:

sqrt(64x^2)

8x

400

Simplify the following radical:

2sqrt(12m^4n^3)

4m^2nsqrt(3n)

500

Simplify the following radical:

sqrt(12x^4y^3z^2)

2x^2yz sqrt(3y)

Adding & Subtracting Radicals

100

Simplify the following radicals:

2sqrt(2)+2sqrt(2)

4sqrt(2)

200

Simplify the following radicals:

-3sqrt(5)+2sqrt(5)

-1sqrt(5)

300

Simplify the following radicals:

sqrt(3)+sqrt(12)

3sqrt(3)

400

Simplify the following radicals:

5sqrt(90)+2sqrt(160)

23sqrt(10)

500

Simplify the following radicals:

-2sqrt(72)-3sqrt(18)+2sqrt(50)

-11sqrt(2)

Multiplying Radicals

100

Simplify the following radicals:

sqrt(6)*sqrt(3)

3sqrt(2)

200

Simplify the following radicals:

sqrt(18)*sqrt(12)

6sqrt(6)

300

Simplify the following radicals:

5sqrt(35)*7sqrt(20)

350sqrt(7)

400

Simplify the following radicals:

sqrt(2x^2)*sqrt(10x^3)

2x^2sqrt(5x)

500

Simplify the following radicals:

sqrt(15x)(sqrt(3x^4))

3x^2sqrt(5x)

Dividing & Rationalize the Denominator

100

Simplify the following radicals:

sqrt(16)/sqrt(25)

4/5

200

Simplify the following radicals:

sqrt(12)/sqrt(64)

sqrt(3)/4

300

Simplify the following radicals:

sqrt(6)/sqrt(10)

sqrt(15)/5

400

Simplify the following radicals:

(3sqrt(4))/(5sqrt(6)

sqrt(6)/5

500

Simplify the following radicals:

(2sqrt(72))/(3sqrt(6))

(4sqrt(3))/3