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4. Math > 42. Estimate Square Roots

Estimate Square Roots

Estimate square roots and even higher-order roots by using simple processes.

It’s often useful to compute the square root of a number, especially when you want to visualize areas or compute diagonal distances. There are a few methods for computing square roots on paper, some of which are not widely known. If all you have is your brain, however, it’s still possible to come up with a quick estimate that’s reasonably accurate.

In Action

To estimate the square root of a number, start by pairing up the digits of the number, beginning with the decimal point and moving away. So, for instance, to compute the square root of 500,000, we would pair up the digits like this:


  

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