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Approximating square roots

This math skill teaches how to estimate the square root of a number by identifying the two nearest perfect squares and estimating a value in between those square roots.

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Teaching Transcript

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Let's approximate the square root of 19.

19 is between the perfect squares of 16 and 25

So we know that the square root of 19 will be between 4 and 5, maybe around 4.5 would be a good approximation

The correct answer is 4.36 so that was a good estimate

Skill Practice

Approximating square roots

Test your understanding of approximating square roots by practicing it! Work through the below exercises to use it in practice.