Square Root of 172 Squared (√172^2)

Square Root of 172 Squared

Here we will discuss and calculate the square root of 172 squared. The problem in mathematical terms that we want to solve is displayed below:

√172²

We are doing two math operations: The radical sign √ means that you are taking the square root of 172 and the ² means to square 172. 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 172. Nevertheless, read on because we will show you different ways of calculating the square root of 172 squared to prove that the answer is 172.

We start by first taking the square root of 172 and then square that result to get our answer like this:

√172 = 13.1149

13.1149² = 172

Now, we will do the operations in opposite order where we first square 172 and then calculate the square root of the result:

172² = 29584

√29584 = 172

You may also find this math rule interesting when dealing with a problem like the square root of 172 squared:

√x² = √x · √x

It also proves that the square root of 172 squared equals 172.

√172² = √172 · √172

√172 · √172 = 13.1149 · 13.1149

13.1149 · 13.1149 = 172

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