Square Root of 2708 Squared (√2708^2)

Square Root of 2708 Squared

Here we will discuss and calculate the square root of 2708 squared. The problem in mathematical terms that we want to solve is displayed below:

√2708²

We are doing two math operations: The radical sign √ means that you are taking the square root of 2708 and the ² means to square 2708. 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 2708. Nevertheless, read on because we will show you different ways of calculating the square root of 2708 squared to prove that the answer is 2708.

We start by first taking the square root of 2708 and then square that result to get our answer like this:

√2708 = 52.0384

52.0384² = 2708

Now, we will do the operations in opposite order where we first square 2708 and then calculate the square root of the result:

2708² = 7333264

√7333264 = 2708

You may also find this math rule interesting when dealing with a problem like the square root of 2708 squared:

√x² = √x · √x

It also proves that the square root of 2708 squared equals 2708.

√2708² = √2708 · √2708

√2708 · √2708 = 52.0384 · 52.0384

52.0384 · 52.0384 = 2708

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