Square Root of 464 Squared (√464^2)

Square Root of 464 Squared

Here we will discuss and calculate the square root of 464 squared. The problem in mathematical terms that we want to solve is displayed below:

√464²

We are doing two math operations: The radical sign √ means that you are taking the square root of 464 and the ² means to square 464. 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 464. Nevertheless, read on because we will show you different ways of calculating the square root of 464 squared to prove that the answer is 464.

We start by first taking the square root of 464 and then square that result to get our answer like this:

√464 = 21.5407

21.5407² = 464

Now, we will do the operations in opposite order where we first square 464 and then calculate the square root of the result:

464² = 215296

√215296 = 464

You may also find this math rule interesting when dealing with a problem like the square root of 464 squared:

√x² = √x · √x

It also proves that the square root of 464 squared equals 464.

√464² = √464 · √464

√464 · √464 = 21.5407 · 21.5407

21.5407 · 21.5407 = 464

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