Video: Solving Word Problems Involving Square Roots

Given that a whole number is squared and the result is between 875 and 974, determine between which of the following is the whole number. [A] 25 and 27 [B] 27 and 29 [C] 29 and 31 [D] 31 and 33 [E] 33 and 35

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Video Transcript

Given that a whole number is squared and the result is between 875 and 974, determine between which of the following is the whole number.

We’ll call 𝑎 our whole number. So our whole number squared is between 875 and 974. Can you think of a square value that falls between 875 and 974? I know that the number 900 falls between these two values. I also know that 30 squared equals 900. And that means the whole number 30 fits this criteria. And 30 falls between 29 and 31.

The whole number 30 falls between 29 and 31.

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