Algebra 2 Review of Radicals

Simplifying Radicals

100

sqrt(64n^6w^4

What is 

8n^3w^2

200

sqrt(9m^4

What is 

3m^2

300

sqrt(49x^12

What is 

7x^6

400

sqrt(36y^8

What is 

6y^4

500

sqrt(144d^2

What is 

12d

Adding/Subtracting Radicals

100

sqrt(5) + sqrt (20)

What is 

3sqrt(5)

200

sqrt(27)+sqrt(147)

What is 

10sqrt(3)

300

sqrt98-sqrt18

What is 

4sqrt2

400

sqrt(40)+3sqrt(1960)

What is 

44sqrt10

500

4sqrt96-sqrt96

What is 

12sqrt(6)

Exponent Operations

100

Simplify 

27^(1/3)

What is 

3

200

Convert to Exponential Form

sqrt(7x^3

What is 

7^(1/2)x^(3/2)

300

Write the Product in simplified radical form

root4(6)*root3(6)

What is 

root12(6^7)

400

Simplify

(-27x^-9)^(1/3)

What is 

-3/x^3

500

Simplify

(-3)^(1/3)*(-3)^(1/3)*(-3)^(1/3)

What is 

-3

Multiplying Radicals

100

7(5+sqrt3)

What is 

35+7sqrt(3)

200

3(9+sqrt(5))

What is 

27+3sqrt5

300

(5-sqrt3)(5+sqrt3)

What is 

22

400

(2+3sqrt7)(7+sqrt7)

What is 

35+23sqrt7

500

2sqrt3(sqrt15+sqrt60)

What is 

18sqrt5

Solving Radicals

100

sqrt(2x)=sqrt(x-4)

What is 

x=-4

200

sqrtb+4=sqrt36+1

What is 

b=9

300

(4x+1)^(1/4)-4=-1

What is 

x=20

400

sqrt(x-2)+1=5

What is 

x=18

500

What is the solution? Check for extraneous solutions.

sqrt(x-1)=x-7

What is 

x=10