Square Root of 50 Squared (√50^2)

Square Root of 50 Squared

Here we will discuss and calculate the square root of 50 squared. The problem in mathematical terms that we want to solve is displayed below:

√50²

We are doing two math operations: The radical sign √ means that you are taking the square root of 50 and the ² means to square 50. 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 50. Nevertheless, read on because we will show you different ways of calculating the square root of 50 squared to prove that the answer is 50.

We start by first taking the square root of 50 and then square that result to get our answer like this:

√50 = 7.0711

7.0711² = 50

Now, we will do the operations in opposite order where we first square 50 and then calculate the square root of the result:

50² = 2500

√2500 = 50

You may also find this math rule interesting when dealing with a problem like the square root of 50 squared:

√x² = √x · √x

It also proves that the square root of 50 squared equals 50.

√50² = √50 · √50

√50 · √50 = 7.0711 · 7.0711

7.0711 · 7.0711 = 50

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