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What is the square root of 0.36?

Updated: 4/28/2022
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14y ago

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There are basically two ways to work out a square root. Either your goal is to find an EXACT, mathematical result, or your goal is to find an ESTIMATED result.

To get an ESTIMATED result, you need to key it into the calculator and round the answer to the specified number of digits for your assignment. Anything else involves using "power series"... something in University level Mathematics.

To get an EXACT result, you need to simplify the expression by square root operators:

sqrt(0.36) = sqrt( 36 / 100 )

Keep simplifying until you have nothing by prime factors in there:

sqrt( 2 x 3 x 2 x 3 / 2 x 5 x 2 x 5 )

Next we can cancel out all the 2s from that fraction:

sqrt( 3 x 3 / 5 x 5 )

Next, we can break the square root:

sqrt( 3 x 3 ) / sqrt( 5 x 5 )

In this case the answer is 3/5.

Here is a good video explaining more about simplifying these:http://www.YouTube.com/watch?v=Thxzb35HQlw&NR=1

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