Square Root of 672 Squared (√672^2)

Square Root of 672 Squared

Here we will discuss and calculate the square root of 672 squared. The problem in mathematical terms that we want to solve is displayed below:

√672²

We are doing two math operations: The radical sign √ means that you are taking the square root of 672 and the ² means to square 672. 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 672. Nevertheless, read on because we will show you different ways of calculating the square root of 672 squared to prove that the answer is 672.

We start by first taking the square root of 672 and then square that result to get our answer like this:

√672 = 25.923

25.923² = 672

Now, we will do the operations in opposite order where we first square 672 and then calculate the square root of the result:

672² = 451584

√451584 = 672

You may also find this math rule interesting when dealing with a problem like the square root of 672 squared:

√x² = √x · √x

It also proves that the square root of 672 squared equals 672.

√672² = √672 · √672

√672 · √672 = 25.923 · 25.923

25.923 · 25.923 = 672

Square Root of a Number Squared
Please enter another number to calculate the square root of the number squared.

Square Root of 673 Squared
Here is the next number on our list for which we have calculated the square root of the number squared.

Note: Decimal numbers on this page are rounded to the nearest ten-thousandths if necessary.