Square Root of 823 Squared (√823^2)

Square Root of 823 Squared

Here we will discuss and calculate the square root of 823 squared. The problem in mathematical terms that we want to solve is displayed below:

√823²

We are doing two math operations: The radical sign √ means that you are taking the square root of 823 and the ² means to square 823. 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 823. Nevertheless, read on because we will show you different ways of calculating the square root of 823 squared to prove that the answer is 823.

We start by first taking the square root of 823 and then square that result to get our answer like this:

√823 = 28.688

28.688² = 823

Now, we will do the operations in opposite order where we first square 823 and then calculate the square root of the result:

823² = 677329

√677329 = 823

You may also find this math rule interesting when dealing with a problem like the square root of 823 squared:

√x² = √x · √x

It also proves that the square root of 823 squared equals 823.

√823² = √823 · √823

√823 · √823 = 28.688 · 28.688

28.688 · 28.688 = 823

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