We need to find the perfect squares either side of 28, that is 25 and 36 Therefore √28 lies between 5 and 6
The question asks between which two whole numbers does the square root of 28 lie.
To solve this without a calculator, we look for perfect squares closest to 28.
The perfect square lower than 28 is 25, which is √25 = 5.
The next perfect square higher than 28 is 36, which is √36 = 6.
Therefore, √28 lies between 5 and 6.
The square root of 28 lies between the whole numbers 5 and 6. This is determined by comparing 28 to the perfect squares of 25 and 36. Therefore, 5 < 28 < 6 .
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