Approximating Square Roots Using Tables and Number Lines

The video tutorial explains how to approximate square roots without a calculator using two methods: a table and a number line. It demonstrates these methods with examples, including the square roots of 70, 7, and 112, as well as negative square roots. The tutorial emphasizes understanding the proximity of square roots to perfect squares for accurate estimation.

What is one reason why square roots of non-perfect squares are considered irrational?

• They can be expressed as fractions.

• They are nonterminating decimals.

• They are always whole numbers.

• They are always negative.

When using a table to approximate the square root of 70, which two perfect squares is it between?

• 64 and 81

• 49 and 64

• 81 and 100

• 36 and 49

Using a number line, between which two integers does the square root of 70 fall?

• 9 and 10

• 6 and 7

• 8 and 9

• 7 and 8

When approximating the square root of 7 using a table, which perfect square is it closer to?

• 16

• 25

• 4

• 9

On a number line, where does the negative square root of 14 fall between?

• Negative 4 and negative 3

• Negative 5 and negative 4

• Negative 3 and negative 2

• Negative 2 and negative 1

Which perfect square is the square root of 112 closer to on a number line?

• 81

• 121

• 100

• 144

What is the approximate whole number value of the square root of 112?

• 13

• 10

• 12

• 11