Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.6 Irrational Numbers **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 10.6 Irrational Numbers

**Exercises**

**CALCULATE**

**Estimate the square root of a number.**

Question 1.

\(\sqrt{89}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{89}\) 9 and 10; but closer to 9

Explanation:

\(\sqrt{89}\) 9 and 10; but closer to 9

9 x 9 = 81

10 x 10 = 100

89 is closer to 81 rather then 100

\(\sqrt{89}\) 9 and 10; but closer to 9

Question 2.

\(\sqrt{44}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{44}\) 6 and 7; but closer to 7

Explanation:

\(\sqrt{44}\) 6 and 7; but closer to 7

6 x 6 = 36

and

7 x 7 = 49

44 is closer to 49, rather then 36

\(\sqrt{44}\) 6 and 7; but closer to 7

Question 3.

\(\sqrt{5}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{5}\) 2 and 3; but closer to 2

Explanation:

\(\sqrt{5}\) 2 and 3; but closer to 2

2 x 2 = 4

and

3 x 3 = 9

4 is closer to 5, rather then 9

\(\sqrt{5}\) 2 and 3; but closer to 2

Question 4.

\(\sqrt{50}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{50}\) 7 and 8; but closer to 7

Explanation:

\(\sqrt{50}\) 7 and 8; but closer to 7

7 x 7 = 49

and

8 x 8 = 64

49 is closer to 50, rather then 64

\(\sqrt{50}\) 7 and 8; but closer to 7

Question 5.

\(\sqrt{97}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{97}\) 9 and 10; but closer to 10

Explanation:

\(\sqrt{97}\) 9 and 10; but closer to 10

9 x 9 = 81

and

10 x 10 = 100

97 if closer to 10, rather then 81

\(\sqrt{97}\) 9 and 10; but closer to 10

Question 6.

\(\sqrt{23}\) is between ___________ and ____________ but closer to ______________.

Answer:

\(\sqrt{23}\) 4 and 5; but closer to 5

Explanation:

\(\sqrt{23}\) 4 and 5; but closer to 5

4 x 4 = 16

and

5 x 5 = 25

25 is closer to 23, rather then 16

\(\sqrt{23}\) 4 and 5; but closer to 5

Question 7.

Noah’s garden is a square with an area of 73 square feet. The length of each side is between which two whole numbers? _______________

Answer:

8 and 9

Explanation:

Noah’s garden is a square with an area of 73 square feet.

8 x 9 = 72 square feet

The length of each side is between which two whole numbers are 8 and 9

Question 8.

Isabella wants to add a wallpaper border along one wall of her room. If her room is a square with an area of 154 square feet, and the wallpaper border is sold only in whole numbers of feet, how many feet of border should she purchase?

Answer:

13

Explanation:

a square with an area of 154 square feet

13 x 13 = 169

She should purchase 13 feet of border.