Square Root of 101 Squared (√101^2)

Square Root of 101 Squared

Here we will discuss and calculate the square root of 101 squared. The problem in mathematical terms that we want to solve is displayed below:

√101²

We are doing two math operations: The radical sign √ means that you are taking the square root of 101 and the ² means to square 101. 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 101. Nevertheless, read on because we will show you different ways of calculating the square root of 101 squared to prove that the answer is 101.

We start by first taking the square root of 101 and then square that result to get our answer like this:

√101 = 10.0499

10.0499² = 101

Now, we will do the operations in opposite order where we first square 101 and then calculate the square root of the result:

101² = 10201

√10201 = 101

You may also find this math rule interesting when dealing with a problem like the square root of 101 squared:

√x² = √x · √x

It also proves that the square root of 101 squared equals 101.

√101² = √101 · √101

√101 · √101 = 10.0499 · 10.0499

10.0499 · 10.0499 = 101

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