Square Root of 202 Squared (√202^2)

Square Root of 202 Squared

Here we will discuss and calculate the square root of 202 squared. The problem in mathematical terms that we want to solve is displayed below:

√202²

We are doing two math operations: The radical sign √ means that you are taking the square root of 202 and the ² means to square 202. 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 202. Nevertheless, read on because we will show you different ways of calculating the square root of 202 squared to prove that the answer is 202.

We start by first taking the square root of 202 and then square that result to get our answer like this:

√202 = 14.2127

14.2127² = 202

Now, we will do the operations in opposite order where we first square 202 and then calculate the square root of the result:

202² = 40804

√40804 = 202

You may also find this math rule interesting when dealing with a problem like the square root of 202 squared:

√x² = √x · √x

It also proves that the square root of 202 squared equals 202.

√202² = √202 · √202

√202 · √202 = 14.2127 · 14.2127

14.2127 · 14.2127 = 202

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