Estimating Square Roots of Non-Perfect Squares

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7 Questions

What is an effective way to estimate square roots mentally when integers are not perfect squares?

Use perfect squares

If a number is closer to the next perfect square greater than it, what can be expected about its square root?

It will be closer to the next integer

Estimate √96 to the nearest integer. What would be the most accurate estimation?

9

What is the square root of 150 estimated to the nearest integer based on the method described in the text?

13

If a number is equidistant from two perfect squares, what can be inferred about its square root estimation?

It will be an even integer

Using the method of estimating square roots with perfect squares, what is a likely estimation for √53?

7

What can be said about the estimated square root of -√250 based on the concept of perfect squares?

It will be a negative integer

Learn how to estimate square roots of non-perfect squares by using perfect squares as benchmarks. Practice estimating square roots like √78 to the nearest integer.

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