or why not?
The requried square root of 102, approximated to the nearest tenth, is approximately 10.1.
To approximate the square root of 102 to the nearest tenth, you can use a calculator or perform the calculation manually. Here's the manual method:
Start by guessing the square root. The square root of 100 is 10, so it's a good starting point.
Divide 102 by the guessed value (10) to get a new approximation.
102 / 10 = 10.2
Take the average of the guessed value and the new approximation.
(10 + 10.2) / 2 = 10.1
Repeat steps 2 and 3 using the new approximation to get a more accurate result:
102 / 10.1 ≈ 10.099
(10.1 + 10.099) / 2 ≈ 10.0995
So, the squareroot of 102, approximated to the nearest tenth, is approximately 10.1.
Learn more about square roots here:
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