Unit 8 - Radicals Review

Simplifying Radicals

100

Simplify the following radical:

sqrt(294)

7sqrt(6)

200

Simplify the following radical:

-sqrt(72)

-6sqrt(2)

300

Simplify the following radical:

sqrt(288)

12sqrt(2)

400

Simplify the following radical:

2sqrt(72)

12m^2nsqrt(2n)

500

Simplify the following radical:

7sqrt(12)

14x^2yzsqrt(3y)

Adding & Subtracting Radicals

100

Simplify the following radicals:

sqrt(2)+sqrt(2)

2sqrt(2)

200

Simplify the following radicals:

-sqrt(5)-3sqrt(5)+2sqrt(6)

-4sqrt(5)+2sqrt(6)

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(24)+2sqrt(128)

4sqrt(2)-6sqrt(6)

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(2)*sqrt(10)

2x^2sqrt(5x)

500

Simplify the following radicals:

sqrt(15)(2sqrt(6)+sqrt(2))

6sqrt(10)+sqrt(30)

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

Radical Form & Exponential Form

100

Convert the following expression to Radical Form

x^(1/2)

sqrt(x)

200

Convert the following expression to Exponential Form

root(4)(2x)

2^(1/4)x^(1/4)

300

Convert the following expression to Radical Form

(3k)^(4/5)

root(5)(3^4k^4)

400

Convert the following expression to Exponential Form

(sqrt(6x))^3

6^(3/2)x^(3/2)

500

Convert the following expression to Exponential Form

root(3)(2x^6y^4z^7)

2^(1/3)x^(2)y^(4/3)z^(7/3)