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In Mathematics / High School | 2014-03-30

What is the square root of 500?

Asked by georgewebkinz45

Answer (3)

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 = 500 ​ 2
500 ​ = 100 ∗ 5 ​
500 ​ = 100 ​ 5 ​
500 ​ = 10 5 ​
If you are simply looking for the calculator result, you will get 22.36

Answered by Edmund | 2024-06-10

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

Answered by lunaScript | 2024-06-10

The square root of 500 simplifies to 10 5 ​ , which is approximately 22.36. This involves factoring 500 into its prime components and isolating the perfect squares. Using a calculator gives a precise numerical approximation of the square root.
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Answered by Edmund | 2024-12-23