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How do you find the square root of a non-perfect square like 28?

Estimate between the nearest whole numbers

Finding the square root of a non-perfect square involves estimating between the nearest whole numbers that, when squared, are closest to the given number. For the number 28, you can identify that 5 squared (25) is less than 28, and 6 squared (36) is more than 28. Therefore, the square root of 28 lies between 5 and 6.

This method of estimation allows you to quickly narrow down the potential value and get a rough idea of where the square root lies. By working with whole numbers and their squares, you can visualize the range in which the actual square root falls, making it a practical approach for manual calculations or when a calculator is not available.

Utilizing a calculator for exact value provides precision but does not engage with understanding the numerical relationship through estimation. Rounding the number to the nearest integer or subtracting from a perfect square root may lead to inaccuracies or misrepresentation of the actual square root value. Therefore, estimating is the most straightforward and effective method for finding a square root in this case.

Get further explanation with Examzify DeepDiveBeta

Use a calculator for exact value

Round it to the nearest integer

Subtract 1 from the perfect square root

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