Square Roots Review

Simplifying Square Roots

100

Simplify √75

What is 5√3

200

Simplify 3√99

What is 9√11

300

Simplify √x²⁷

What is x¹³√x

400

Simplify √x⁴y⁵z

What is x²y²√yz

500

Simplify -6√80x¹⁷

What is -24x⁸√5x

Fractional Indices

100

4^1/2

What is 2

200

8^1/3

What is 2

300

81^1/2*27^1/3

What is 27

400

100^5/4/100^3/4

What is 10

500

x^1/4(x^2/4+x^3/4)

What is x^3/4+x

Multiplying Square Roots

100

Multiply √12 and √12

What is 12

200

Multiply √2 by √12

What is 2√6

300

Multiply 2√6 by -√10

What is -4√15

400

Multiply √5 by √10 by √10

What is 10√5

500

Multiply √8 by √15 by √3

What is 6√10

Index Laws

100

5²*5⁵

What is 5⁷

200

(10²)⁴

What is 1000000 (One Million)

300

7⁶/7⁹

What is 7^-3 

400

(5⁵)⁶*5^-27

What is 5³

500

(25⁵/125)/5¹²

What is 5^-5

Dividing Square Roots

100

1 / √3

√3 / 3

200

2 / √5

2√5 / 5

300

√18 / √2

3

400

√64 / √2

4√2

500

√25 / √2

5√2 /2