Square Root of 352 Squared (√352^2)

Square Root of 352 Squared

Here we will discuss and calculate the square root of 352 squared. The problem in mathematical terms that we want to solve is displayed below:

√352²

We are doing two math operations: The radical sign √ means that you are taking the square root of 352 and the ² means to square 352. 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 352. Nevertheless, read on because we will show you different ways of calculating the square root of 352 squared to prove that the answer is 352.

We start by first taking the square root of 352 and then square that result to get our answer like this:

√352 = 18.7617

18.7617² = 352

Now, we will do the operations in opposite order where we first square 352 and then calculate the square root of the result:

352² = 123904

√123904 = 352

You may also find this math rule interesting when dealing with a problem like the square root of 352 squared:

√x² = √x · √x

It also proves that the square root of 352 squared equals 352.

√352² = √352 · √352

√352 · √352 = 18.7617 · 18.7617

18.7617 · 18.7617 = 352

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