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Video: Estimation of Square Roots

Kathryn Kingham

Which of the following numbers is closest to 5? [A] √120 [B] √94 [C] √8 [D] √106 [E] √24

01:23

Video Transcript

Which of the following numbers is closest to five? We’re given five different square roots and we want to know which of these is closest to five. So let’s think about what we know about squares and square roots. Three squared equals nine, and the square root of nine equals three. We wanna know what square root is close to five.

A related question and to answer that, we need to think what is five squared. What would five squared be? Five squared is 25, and the square root of 25 equals five. If we look closely at our answer choices, only one of them is close to five. The square root of 24 will be the closest to the square root of 25. The square root of 24 will be almost five. Out of our five answer choices, the square root of 24 is the closest to five.