Estimating Radicals and Solving Inequalities

What is the main challenge when solving inequality statements involving square roots?

• They are impossible to solve without a computer.

• They always need a calculator.

• They often involve estimating non-perfect square roots.

• They require complex calculations.

Which of the following is a perfect square?

• 5

• 4

• 3

• 2

If the square root of 26 is estimated, which two perfect squares is it between?

• 9 and 16

• 36 and 49

• 25 and 36

• 16 and 25

What is the estimated value of the square root of 37?

• 7.2

• 6.1

• 6.9

• 5.5

Which inequality statement is false based on the square root of 37?

• 6.1 < 5.25

• 6.1 > 5.25

• 6.1 = 5.25

• 6.1 <= 5.25

In the inequality involving the square root of 3, what is the approximate value of 3 times pi?

• 7.5

• 10.5

• 8.14

• 9.42

What is the approximate value of 3 times the square root of 3?

• Less than 6

• Equal to 9

• More than 6

• Exactly 6

What is the estimated value of the square root of 5?

• 1.9

• 2.2

• 3.1

• 2.5

Which statement is true about the square root of 10?

• It is closer to 4 than 3.

• It is exactly 3.

• It is less than 3.

• It is approximately 3.1.

What is the result of 15 divided by the estimated square root of 10?

• Less than 5

• Exactly 5

• Approximately 5

• More than 5