Square Root of 827 Squared (√827^2)

Square Root of 827 Squared

Here we will discuss and calculate the square root of 827 squared. The problem in mathematical terms that we want to solve is displayed below:

√827²

We are doing two math operations: The radical sign √ means that you are taking the square root of 827 and the ² means to square 827. 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 827. Nevertheless, read on because we will show you different ways of calculating the square root of 827 squared to prove that the answer is 827.

We start by first taking the square root of 827 and then square that result to get our answer like this:

√827 = 28.7576

28.7576² = 827

Now, we will do the operations in opposite order where we first square 827 and then calculate the square root of the result:

827² = 683929

√683929 = 827

You may also find this math rule interesting when dealing with a problem like the square root of 827 squared:

√x² = √x · √x

It also proves that the square root of 827 squared equals 827.

√827² = √827 · √827

√827 · √827 = 28.7576 · 28.7576

28.7576 · 28.7576 = 827

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