Simplifying Perfect Roots

Simplify:

a and b

Simplify:

b and b

Find the value of the variable that makes the statement true:

15

Simplify:

6 and 3

Carol is painting a four square game court on a school playground. The four small squares are all the same size. If the total area of the four small squares is 256 ft2, what is the side length of each small square?

8

Select the expression that is equivalent to: 3 sqrt 1089 Simplify completely:

a and 99

Simplify completely.

b

Simplify:

c and b

Select the expression that is equivalent to:

d

Describe the error in the work shown.

y to the 12th power should have been written as the cube of y to the 4th power, so that the index and the exponent are the same. The cube root of y to the 12th power is y to the 4th power. The final simplified form should have y to the 4th power instead of y cubed.