Square Root of 498 Squared (√498^2)

Square Root of 498 Squared

Here we will discuss and calculate the square root of 498 squared. The problem in mathematical terms that we want to solve is displayed below:

√498²

We are doing two math operations: The radical sign √ means that you are taking the square root of 498 and the ² means to square 498. 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 498. Nevertheless, read on because we will show you different ways of calculating the square root of 498 squared to prove that the answer is 498.

We start by first taking the square root of 498 and then square that result to get our answer like this:

√498 = 22.3159

22.3159² = 498

Now, we will do the operations in opposite order where we first square 498 and then calculate the square root of the result:

498² = 248004

√248004 = 498

You may also find this math rule interesting when dealing with a problem like the square root of 498 squared:

√x² = √x · √x

It also proves that the square root of 498 squared equals 498.

√498² = √498 · √498

√498 · √498 = 22.3159 · 22.3159

22.3159 · 22.3159 = 498

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