Square Root of 113 Squared (√113^2)

Square Root of 113 Squared

Here we will discuss and calculate the square root of 113 squared. The problem in mathematical terms that we want to solve is displayed below:

√113²

We are doing two math operations: The radical sign √ means that you are taking the square root of 113 and the ² means to square 113. 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 113. Nevertheless, read on because we will show you different ways of calculating the square root of 113 squared to prove that the answer is 113.

We start by first taking the square root of 113 and then square that result to get our answer like this:

√113 = 10.6301

10.6301² = 113

Now, we will do the operations in opposite order where we first square 113 and then calculate the square root of the result:

113² = 12769

√12769 = 113

You may also find this math rule interesting when dealing with a problem like the square root of 113 squared:

√x² = √x · √x

It also proves that the square root of 113 squared equals 113.

√113² = √113 · √113

√113 · √113 = 10.6301 · 10.6301

10.6301 · 10.6301 = 113

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