Estimating Square Root of Numbers


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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

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