Here we will discuss and calculate the square root of 102 squared. The problem in mathematical terms that we want to solve is displayed below:
√102²
We are doing two math operations: The radical sign √ means that you are taking the square root of 102 and the ² means to square 102. It does not matter which order you do the math operations in, because the following two math rules result in the same answer:
√x² = x
(√x)² = x
Based on those two rules, you can conclude that the answer to our problem is 102. Nevertheless, read on because we will show you different ways of calculating the square root of 102 squared to prove that the answer is 102.
We start by first taking the square root of 102 and then square that result to get our answer like this:
√102 = 10.0995
10.0995² = 102
Now, we will do the operations in opposite order where we first square 102 and then calculate the square root of the result:
102² = 10404
√10404 = 102
You may also find this math rule interesting when dealing with a problem like the square root of 102 squared:
√x² = √x · √x
It also proves that the square root of 102 squared equals 102.
√102² = √102 · √102
√102 · √102 = 10.0995 · 10.0995
10.0995 · 10.0995 = 102
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Square Root of 103 Squared
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