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2 votes
Compute the square root of 532 to the nearest tenth. Use the "divideand average method.

User TinsukE
by
7.3k points

1 Answer

5 votes

ANSWER:


\sqrt[]{532}\cong23.065

Explanation:

We have the following square root


\sqrt[]{532}

We calculate by means of the divide and average method.

The first thing is to look for exact roots between those two values

Step 1 estimate


\begin{gathered} \sqrt[]{539}<\sqrt[]{532}<\sqrt[]{576} \\ 23<\sqrt[]{532}<24 \\ \text{Estimate 23.5} \end{gathered}

Step 2 divide


(532)/(23.5)=22.63

Step 3 average:


(23.5+22.63)/(2)=(46.13)/(2)=23.065

Therefore:


\sqrt[]{532}\cong23.065

User Ln E
by
6.5k points
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