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(288b^2)

12bsqrt(2)

400

Simplify the following radical:

2sqrt(72m^4n^3)

12m^2nsqrt(2n)

500

Simplify the following radical:

7sqrt(12x^4y^3z^2)

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

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 Equations

100

Solve the following radical equation:

sqrt(4x) = 6

What is 9?

200

Solve the following radical equation:

sqrt(5x+10) = -5

What is 3?

300

Solve the following radical equation:

sqrt(4x+1) + 8 = 5

What is 2?

400

Solve the following radical equation:

2sqrt(3 - 3x) = 12

What is 11?

500

Solve the following radical equation:

8sqrt(x + 12) - 10 = 6

What is -8?