Square Root of 476 Squared (√476^2)

Square Root of 476 Squared

Here we will discuss and calculate the square root of 476 squared. The problem in mathematical terms that we want to solve is displayed below:

√476²

We are doing two math operations: The radical sign √ means that you are taking the square root of 476 and the ² means to square 476. 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 476. Nevertheless, read on because we will show you different ways of calculating the square root of 476 squared to prove that the answer is 476.

We start by first taking the square root of 476 and then square that result to get our answer like this:

√476 = 21.8174

21.8174² = 476

Now, we will do the operations in opposite order where we first square 476 and then calculate the square root of the result:

476² = 226576

√226576 = 476

You may also find this math rule interesting when dealing with a problem like the square root of 476 squared:

√x² = √x · √x

It also proves that the square root of 476 squared equals 476.

√476² = √476 · √476

√476 · √476 = 21.8174 · 21.8174

21.8174 · 21.8174 = 476

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