Video: Evaluating Numerical Expressions Involving Square Roots

Calculate √1 + √4 + √9 + √400 + √841 + √900 + √961.

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Video Transcript

Calculate the square root of one plus the square root of four plus the square root of nine plus the square root of 400 plus the square root of 841 plus the square root of 900 plus the square root of 961.

In order to add these together, the numbers inside the square roots have to be the same. And here, they’re all different. But luckily with this question, each of these square roots simplify. The square root of one is one. The square root of four is two. The square root of nine is three. The square root of 400 is 20. The square root of 841 is 29. The square root of 900 is 30. And the square root of 961 is 31.

So if we would add all of these numbers together, we would get a total of 116.

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