Squares And Square Roots Worksheet printable pdf download

Squares And Square Roots Worksheet

Building Squares and Square Roots

Name____________________

With Color Tiles

Use Color Tiles to build each consecutive square. Write the expression

for each cell in the table. Use the table below to organize your data.

Then, use the patterns to answer the questions.

Sketch

Length

Find total

Find total using

Find length of a side

of side

Squares

an exponent

using a square root

1 • 1 = 1

1² = 1

1 = √1

1. How many total tiles would there be if the length of the side of the square was 6?

2. What would the length of the square’s side (the square root) have to be if there

were 49 total tiles in the area?

3. If you knew the length of a side was 10, explain how you would find the total

number of squares.

4. Explain how you would find the length of the side of the square patio, if you

knew the total number of tiles was 64.

5. There is an inverse relationship between squaring a number and taking the square

root of that perfect square. Explain what this means.

Find the value for each: 6) 12²

8²

8) √169

√10²

Squares And Square Roots Worksheet