Square Root of 861 Squared (√861^2)

Square Root of 861 Squared

Here we will discuss and calculate the square root of 861 squared. The problem in mathematical terms that we want to solve is displayed below:

√861²

We are doing two math operations: The radical sign √ means that you are taking the square root of 861 and the ² means to square 861. 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 861. Nevertheless, read on because we will show you different ways of calculating the square root of 861 squared to prove that the answer is 861.

We start by first taking the square root of 861 and then square that result to get our answer like this:

√861 = 29.3428

29.3428² = 861

Now, we will do the operations in opposite order where we first square 861 and then calculate the square root of the result:

861² = 741321

√741321 = 861

You may also find this math rule interesting when dealing with a problem like the square root of 861 squared:

√x² = √x · √x

It also proves that the square root of 861 squared equals 861.

√861² = √861 · √861

√861 · √861 = 29.3428 · 29.3428

29.3428 · 29.3428 = 861

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