What is the square root of 500

There is no perfect square for 500. You can either solve it as a radical expression with \( 10 \sqrt{5} \) or you can give the approximate answer of about 22.3607

500 is not a perfect square number. Therefore, find the factors of 500 with the largest perfect square. In this case, 100 is the largest perfect square number in 500.
\( 500= \sqrt{500} ^2 \)

\( \sqrt{500}=\sqrt{100*5} \)

\( \sqrt{500}=\sqrt{100}\sqrt{5} \)

\( \sqrt{500}=10\sqrt{5} \)

If you are simply looking for the calculator result, you will get \( 22.36 \)


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