Estimating and Comparing Irrational Numbers

What is the approximate value of √28 ?

• 5.6

• 5.9

• 5.3

• 8

Answer explanation

 $25<28<36$     *closer to 25
 $\sqrt{25}<\sqrt{28}<\sqrt{36}$      *closer to  $\sqrt{25}$  
 $5<\sqrt{28}<6$      *closer to 5

 $\sqrt{28}\approx5.3$      *Closest option provided to 5

The √98 falls between what two numbers on a number line?

• 10 and 11

• 11 and 12

• 9 and 10

• 90 and 100

Which best represents point Z on the number line?

• √165

• √149

• √12.2

• √13

Which is the best approximation of point M?

• √2

• 7/3.5

• 14/4

• π

Which is the best approximation of point P?

• √8

• √2.8

• 17/5

• 2 1/4

Which value is best represented by point Q?

• √5.4

• √29.5

• √35.5

• √5.9

Which value best approximates point R?

• 18/4

• √50.9

• √7.13

• π²

In between what two integers is the square root of 77?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

The √40 is between which two integers?

• 7 & 8

• 6 & 7

• 5 & 6

• 4 & 5

What two integers would √26 fall between

• 3 and 4

• 5 and 6

• 6 and 7

• 5 and 7