Square Root of 966 Squared (√966^2)

Square Root of 966 Squared

Here we will discuss and calculate the square root of 966 squared. The problem in mathematical terms that we want to solve is displayed below:

√966²

We are doing two math operations: The radical sign √ means that you are taking the square root of 966 and the ² means to square 966. 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 966. Nevertheless, read on because we will show you different ways of calculating the square root of 966 squared to prove that the answer is 966.

We start by first taking the square root of 966 and then square that result to get our answer like this:

√966 = 31.0805

31.0805² = 966

Now, we will do the operations in opposite order where we first square 966 and then calculate the square root of the result:

966² = 933156

√933156 = 966

You may also find this math rule interesting when dealing with a problem like the square root of 966 squared:

√x² = √x · √x

It also proves that the square root of 966 squared equals 966.

√966² = √966 · √966

√966 · √966 = 31.0805 · 31.0805

31.0805 · 31.0805 = 966

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