Square Root of 389 Squared (√389^2)

Square Root of 389 Squared

Here we will discuss and calculate the square root of 389 squared. The problem in mathematical terms that we want to solve is displayed below:

√389²

We are doing two math operations: The radical sign √ means that you are taking the square root of 389 and the ² means to square 389. 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 389. Nevertheless, read on because we will show you different ways of calculating the square root of 389 squared to prove that the answer is 389.

We start by first taking the square root of 389 and then square that result to get our answer like this:

√389 = 19.7231

19.7231² = 389

Now, we will do the operations in opposite order where we first square 389 and then calculate the square root of the result:

389² = 151321

√151321 = 389

You may also find this math rule interesting when dealing with a problem like the square root of 389 squared:

√x² = √x · √x

It also proves that the square root of 389 squared equals 389.

√389² = √389 · √389

√389 · √389 = 19.7231 · 19.7231

19.7231 · 19.7231 = 389

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