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what is the square root of $33$ ?

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Square roots of perfect squares

Full solution

Q. what is the square root of

33

?

Understand the problem: Understand the problem. $\newline$ We need to find the square root of the number $33$ . The square root of a number is a value that, when multiplied by itself, gives the original number.
Estimate the square root: Estimate the square root. $\newline$ Since $33$ is not a perfect square, we can estimate its square root by finding the nearest perfect squares. The perfect squares closest to $33$ are $25$ (which is $5^2$ ) and $36$ (which is $6^2$ ). Therefore, the square root of $33$ should be between $5$ and $6$ .
Use a calculator: Use a calculator or a square root algorithm to find the square root of $33$ . Using a calculator, we find that the square root of $33$ is approximately $5.7446$ .
Check for errors: Check for any mathematical errors. $\newline$ We have estimated the square root and used a calculator to find the approximate value. There are no mathematical errors in the calculation.

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