Approximating Square Roots for Grade 8 Math

What is the purpose of using a curved equal sign when approximating square roots?

• To indicate an exact value

• To show that the value is an approximation

• To represent a complex number

• To denote a negative value

Which two perfect squares does the square root of 38 fall between?

• 36 and 49

• 25 and 36

• 16 and 25

• 49 and 64

How do you determine the numerator when approximating the square root of 38?

• By finding the distance between 36 and 49

• By dividing 38 by 36

• By finding the distance between 36 and 38

• By subtracting 36 from 49

What is the approximate value of the square root of 38 rounded to the nearest tenth?

• 6.1

• 6.2

• 6.3

• 6.4

When comparing the square roots of 6 and 8, which one is greater?

• Cannot be determined

• They are equal

• Square root of 8

• Square root of 6

What is the approximate value of the square root of 6 rounded to the nearest hundredth?

• 2.47

• 2.46

• 2.45

• 2.44

Which two perfect squares does the square root of 51 fall between?

• 49 and 64

• 36 and 49

• 64 and 81

• 25 and 36

What is the approximate value of the square root of 51 rounded to the nearest tenth?

• 7.3

• 7.2

• 7.1

• 7.0

What is the actual value of the square root of 51 to two decimal places?

• 7.16

• 7.10

• 7.14

• 7.12

How close was the approximation of the square root of 51 to the actual value?

• Exactly the same

• Off by a tenth

• Off by a hundredth

• Off by a thousandth