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Negative square root of 23 rounded to the nearest tenth

1 Answer

2 votes

Answer:

-4.8

Explanation:

You want the negative square root of 23.

Square root

23 is not a perfect square, so you will likely need a calculator to find its square root. The calculator can also negate it for you and do the rounding.

-√23 ≈ -4.8

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Additional comment

There are some methods for approximating the square root. One of them writes the number in the form s²+r, where s² is the largest perfect square less than the number. Here, that would be 23 = 4² +7, with s=4, r=7.

Then an approximation of the square root will be s +r/(2s+1) = 4 +7/9 ≈ 4.78. For the purpose here, this is close enough to get you to the correct "rounded to tenths" value.

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Negative square root of 23 rounded to the nearest tenth-example-1
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User Varsha Dhadge
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