Rational and Irrational Numbers and Estimating Square Roots

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

Estimate the square root as a decimal to the nearest tenth

Identify the two consecutive integers in which the square root lies between: \sqrt{95}

• 8 and 9

• 9 and 10

• 10 and 11

• 11 and 12

Which number has a square root that is between 7 and 8?

• 48

• 81

• 60

• 36

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

Round to the nearest tenth: √13.

• 5.6

• 2.6

• 3.9

• 3.6

Round to the nearest tenth: √7.

• 3.5

• 2.7

• 2.8

• 14

Ms. Fausel wrote four irrational numbers on the Promethean board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?

• √8

• √17

• √12

• √10

Estimate √72. Round your answer to the nearest whole number.

• 7.2

• 7

• 8

• 9

Is the number rational or irrational?

• Rational

• Irrational