Square Root of 338 Squared




Here we will discuss and calculate the square root of 338 squared. The problem in mathematical terms that we want to solve is displayed below:

338²

We are doing two math operations: The radical sign √ means that you are taking the square root of 338 and the ² means to square 338. It does not matter which order you do the math operations in, because the following two math rules result in the same answer:

= x

(√x)² = x

Based on those two rules, you can conclude that the answer to our problem is 338. Nevertheless, read on because we will show you different ways of calculating the square root of 338 squared to prove that the answer is 338.


We start by first taking the square root of 338 and then square that result to get our answer like this:

338 = 18.3848

18.3848² = 338

Now, we will do the operations in opposite order where we first square 338 and then calculate the square root of the result:

338² = 114244

114244 = 338

You may also find this math rule interesting when dealing with a problem like the square root of 338 squared:

= √x · √x

It also proves that the square root of 338 squared equals 338.

338² = √338 · √338

338 · √338 = 18.3848 · 18.3848

18.3848 · 18.3848 = 338

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