Radicals

Jonathan has 576 square paving stones that he plans to use to construct a square patio.

How many paving stones will make up the width of the patio?

• 18

• 24

• 36

• 48

Which two integers make this equation true?

324 = x²

• +/- 16

• +/- 17

• +/- 18

• +/- 19

Between which two integers is  $\sqrt{71}$  located?

• 6 and 7

• 7 and 8

• 8 and 9

• 9 and 10

Between which two integers is  $\sqrt{107}$  located?

• 7 and 8

• 8 and 9

• 9 and 10

• 10 and 11

1. What two numbers does the cube root of 50 fall between?

• 2 and 3

• 3 and 4

• 4 and 5

• 5 and 6

Find the value of x if  $\sqrt{x}\ =\ 14$ .

• 169

• 196

• 225

• 256

Simplify using the Laws of Exponents
 $x^5\ \times\ x^9$  

•  $x^{45}$  
  

•  $x^{14}$  
  

•  $\frac{1}{x^{14}}$  

•  $\frac{1}{x^{45}}$  

 $\frac{6x^3y^6}{18xy}$  

Simplify using Laws of Exponents.

•  $\frac{x^2y^5}{3}$  

•  $3x^2y^5$  

•  $\frac{3x^3y^6}{xy}$  

•  $\frac{x^2y^4}{3}$