Square Root of 1067 Squared (√1067^2)

Square Root of 1067 Squared

Here we will discuss and calculate the square root of 1067 squared. The problem in mathematical terms that we want to solve is displayed below:

√1067²

We are doing two math operations: The radical sign √ means that you are taking the square root of 1067 and the ² means to square 1067. 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 1067. Nevertheless, read on because we will show you different ways of calculating the square root of 1067 squared to prove that the answer is 1067.

We start by first taking the square root of 1067 and then square that result to get our answer like this:

√1067 = 32.665

32.665² = 1067

Now, we will do the operations in opposite order where we first square 1067 and then calculate the square root of the result:

1067² = 1138489

√1138489 = 1067

You may also find this math rule interesting when dealing with a problem like the square root of 1067 squared:

√x² = √x · √x

It also proves that the square root of 1067 squared equals 1067.

√1067² = √1067 · √1067

√1067 · √1067 = 32.665 · 32.665

32.665 · 32.665 = 1067

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