Square Root of 502 Squared (√502^2)

Square Root of 502 Squared

Here we will discuss and calculate the square root of 502 squared. The problem in mathematical terms that we want to solve is displayed below:

√502²

We are doing two math operations: The radical sign √ means that you are taking the square root of 502 and the ² means to square 502. 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 502. Nevertheless, read on because we will show you different ways of calculating the square root of 502 squared to prove that the answer is 502.

We start by first taking the square root of 502 and then square that result to get our answer like this:

√502 = 22.4054

22.4054² = 502

Now, we will do the operations in opposite order where we first square 502 and then calculate the square root of the result:

502² = 252004

√252004 = 502

You may also find this math rule interesting when dealing with a problem like the square root of 502 squared:

√x² = √x · √x

It also proves that the square root of 502 squared equals 502.

√502² = √502 · √502

√502 · √502 = 22.4054 · 22.4054

22.4054 · 22.4054 = 502

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