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How would you estimate the square root the nearest integer to the nearest integer and the nearest tenth for this number?

How would you estimate the square root the nearest integer to the nearest integer-example-1
User JamesStuddart
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1 Answer

8 votes
8 votes

SOLUTION:

Case: Square-root of numbers

Given:


√(46)

Required:

To find the square root to the nearest:

a) integer

b) tenth

Method:

a) integer.

We find the integer range for the square root of 46


\begin{gathered} √(36)<√(46)<√(49) \\ 6x is a number closer to 7 than 6 because 46 is closer to 49<p>Hence;</p>[tex]√(46)\approx7(NearestInteger)

b) tenth

We find the tenth range for the square root of 46


\begin{gathered} √(44.89)<√(46)<√(46.24) \\ 6.7x is a number closer to 6.8 than 6.7 because 46 is closer to 46.24<p>Hence:</p>[tex]√(46)\approx6.8(NearestTenth)

Final answers:

The square root of 46 is:


\begin{gathered} √(46)\approx7(NearestInteger) \\ √(46)\approx6.8(NearestTenth) \end{gathered}