# Estimating Square Root of Numbers

Related Topics:
More Lessons for GMAT Math
Math Worksheets

Examples, solutions and videos that will help students review how to estimate square root of numbers.

Estimating Square Roots without a Calculator
Examples:
Which two integers is √102 between?
Which two integers is √39 between?

Estimating Square Roots with a Number Line
Examples:
Place the following square roots on the number line.
√26, √88, √77, √37, √30

Estimating Square Roots Given a Point on a Number Line

Estimating square roots
Example:
Estimate the following:
√21
√27
√492

Number Sense - Approximating and Finding Square Roots: 8th grade math

Estimating Square Roots
When a radical is not a perfect square (1, 4, 9, 16, 25), estimating square roots is a valuable tool. When asked to estimate the value of a radical between two consecutive integers, find the two perfect squares that are slightly less and slightly more than the radicand. Also, remember that negative numbers do not have a real number square root.
Examples:
√15, √60, √90, √124, √184

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 