Square Root of 470 Squared (√470^2)

Square Root of 470 Squared

Here we will discuss and calculate the square root of 470 squared. The problem in mathematical terms that we want to solve is displayed below:

√470²

We are doing two math operations: The radical sign √ means that you are taking the square root of 470 and the ² means to square 470. 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 470. Nevertheless, read on because we will show you different ways of calculating the square root of 470 squared to prove that the answer is 470.

We start by first taking the square root of 470 and then square that result to get our answer like this:

√470 = 21.6795

21.6795² = 470

Now, we will do the operations in opposite order where we first square 470 and then calculate the square root of the result:

470² = 220900

√220900 = 470

You may also find this math rule interesting when dealing with a problem like the square root of 470 squared:

√x² = √x · √x

It also proves that the square root of 470 squared equals 470.

√470² = √470 · √470

√470 · √470 = 21.6795 · 21.6795

21.6795 · 21.6795 = 470

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

Square Root of 471 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.