W25: Intro to Algebra Tiles & Square and Cube Root Review

• √1
• 1
• -1
• Not possible

• x³

• x²

• x³√x

• 3x

Which of the following is NOT a perfect square?

• 1
• 4
• 100
• 8

Which would be the next number in the pattern? 
36, 49, 64, 81 __

• 82
• 18
• 64
• 100

Estimate the square root.

• 3

• 4

• 5

• 6

Answer explanation

There is not a whole number, multiplied by itself, that equals 10, so....

3x3=9 and 4x4=16, so you can estimate that the square root of 10 is close to 3.

Estimate the square root.

• 7

• 8

• 9

• 10

Answer explanation

There is not a whole number, multiplied by itself, that equals 87, so....

9x9=81 and 10x10=100, so you can estimate that the square root of 87 is close to 9.

In between what two integers is the square root of 144?

• 3 and 4

• 4 and 5

• 5 and 6

• 11 and 13

Answer explanation

The square root of 144 is 12, because 12x12=144, so....

12 is found between 11 and 13 on the number line.

Square roots are the opposite of ____________.

• Cube Roots

• Squaring

• Multiplication

• Absolute Value

Answer explanation

Examples:

6²=36

√36=6

Taking the square root of an integer results in finding an integer, when squared, equals the square root.

√25

• 5

• -5

• ±5

• None

Answer explanation

-√25 can be read as:

"What is the square root of 25?"

The square root of 25 can be 5 or -5, because 5x5=25, and (-5)(-5)=25.

Mr. Cleaves wrote four square root numbers on the SMART board and asked Saul to choose the number closest to 4. Which number should Saul choose?

• √8

• √17

• √12

• √10

Answer explanation

3²=9

4²=16

5²=25

So, it is reasonable that the square root of 17 is approximately 4.