Square Root of 902 Squared (√902^2)

Square Root of 902 Squared

Here we will discuss and calculate the square root of 902 squared. The problem in mathematical terms that we want to solve is displayed below:

√902²

We are doing two math operations: The radical sign √ means that you are taking the square root of 902 and the ² means to square 902. 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 902. Nevertheless, read on because we will show you different ways of calculating the square root of 902 squared to prove that the answer is 902.

We start by first taking the square root of 902 and then square that result to get our answer like this:

√902 = 30.0333

30.0333² = 902

Now, we will do the operations in opposite order where we first square 902 and then calculate the square root of the result:

902² = 813604

√813604 = 902

You may also find this math rule interesting when dealing with a problem like the square root of 902 squared:

√x² = √x · √x

It also proves that the square root of 902 squared equals 902.

√902² = √902 · √902

√902 · √902 = 30.0333 · 30.0333

30.0333 · 30.0333 = 902

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