Square Root of 707 Squared (√707^2)

Square Root of 707 Squared

Here we will discuss and calculate the square root of 707 squared. The problem in mathematical terms that we want to solve is displayed below:

√707²

We are doing two math operations: The radical sign √ means that you are taking the square root of 707 and the ² means to square 707. 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 707. Nevertheless, read on because we will show you different ways of calculating the square root of 707 squared to prove that the answer is 707.

We start by first taking the square root of 707 and then square that result to get our answer like this:

√707 = 26.5895

26.5895² = 707

Now, we will do the operations in opposite order where we first square 707 and then calculate the square root of the result:

707² = 499849

√499849 = 707

You may also find this math rule interesting when dealing with a problem like the square root of 707 squared:

√x² = √x · √x

It also proves that the square root of 707 squared equals 707.

√707² = √707 · √707

√707 · √707 = 26.5895 · 26.5895

26.5895 · 26.5895 = 707

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