Enriched 2.2 Quiz - Estimating Irrational Numbers & Roots

The number  $\sqrt{150}$  is approximately how many times  $\sqrt{15}$  ?   Round your answer to the nearest whole number.

Which of the following points on the number line best approximates the value of  $-\sqrt{5}$  ?

• A

• B

• C

• D

Estimate the value of  $2\sqrt{10}$  .  Round your answer to one decimal place.

• 5.8

• 7.2

• 6.2

• 6.9

Given:

 $-^3\sqrt{27}\ ;\ \ \ \ \ \ \ \ \pi+3\ \ \ ;\ \ \ \ \ \ \frac{28}{9}\ \ \ ;\ \ \ \ \ \ -\sqrt{5}$  

Which answer choice has the numbers correctly listed from least to greatest?

•  $-\sqrt{5}\ \ \ ;\ \ \ \ \ -^3\sqrt{27}\ \ \ ;\ \ \ \ \ \ \ \pi+3\ \ \ ;\ \ \ \ \ \ \frac{28}{9}$  

•  $-\sqrt{5}\ \ \ ;\ \ \ \ -^3\sqrt{27}\ \ \ ;\ \ \ \ \ \ \frac{28}{9}\ \ \ ;\ \ \ \ \ \ \pi+3$  

•  $-^3\sqrt{27}\ \ ;\ \ \ \ -\sqrt{5}\ \ ;\ \ \ \ \ \ \pi+3\ \ \ ;\ \ \ \ \frac{28}{9}$  

•  $-^3\sqrt{27}\ \ ;\ \ \ -\sqrt{5}\ \ \ ;\ \ \ \ \ \ \ \frac{28}{9}\ \ ;\ \ \ \ \pi+3$  

What is the value of  $3\sqrt{9}$  ? 

Estimate the value of  $\sqrt{85}$   .  Round your answer to one decimal place.

What is the value of  $3\pi$  ?  Round your answer to one decimal place.

Between what two numbers would you plot  $\frac{\pi}{2}$  on a number line?

• between 0 and 1

• between 1 and 2

• between 2 and 3

• between 3 and 4

What whole number is  $\sqrt{35}$   closest to?

Between which two numbers does  $-\sqrt{14}$   fall?

• -13 and -14

• -2 and -3

• -3 and -4

• -4 and -5