Estimating Square Roots

Estimating Square Roots

By Scott Donnelly

Multiple Choice

Simplify

$$\sqrt[]{49}$$  

• 7

• 14

• 24

Multiple Choice

Simplify

$$\sqrt[]{32}$$  

• $$16$$  

• $$16\sqrt[]{2}$$  

• $$8\sqrt[]{4}$$  

• $$4\sqrt[]{2}$$  

1. Use highlighted numbers as guide.

2. Find the 2 highlighted above and below value

3. Determine which highlight number it is closer to.

4. ​If closer to lower value, number after decimal should be less than 5. If closer to higher number then greater than 5.

5. The closer it is to either will determine decimal.​

​Estimating Square Roots

​Example

Multiple Choice

What 2 perfect square roots (highlight numbers) is $$\sqrt[]{75}$$  

• 7 and 8

• 8 and 9

• 9 and 10

Multiple Choice

Is 75 closer to 81 or 64

• 81

• 64

• It is in the middle.

Draw

Estimate $$\sqrt[]{75}$$  Round to nearest tenths, 1st number after decimal.

Draw

Estimate the square root.

$$\sqrt[]{122}$$  

Draw

Estimate the square root.

$$\sqrt[]{23}$$  

Draw

Estimate the square root.

$$\sqrt[]{96}$$