Square Root of 418 Squared (√418^2)

Square Root of 418 Squared

Here we will discuss and calculate the square root of 418 squared. The problem in mathematical terms that we want to solve is displayed below:

√418²

We are doing two math operations: The radical sign √ means that you are taking the square root of 418 and the ² means to square 418. 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 418. Nevertheless, read on because we will show you different ways of calculating the square root of 418 squared to prove that the answer is 418.

We start by first taking the square root of 418 and then square that result to get our answer like this:

√418 = 20.445

20.445² = 418

Now, we will do the operations in opposite order where we first square 418 and then calculate the square root of the result:

418² = 174724

√174724 = 418

You may also find this math rule interesting when dealing with a problem like the square root of 418 squared:

√x² = √x · √x

It also proves that the square root of 418 squared equals 418.

√418² = √418 · √418

√418 · √418 = 20.445 · 20.445

20.445 · 20.445 = 418

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