Square Root of 424 Squared (√424^2)

Square Root of 424 Squared

Here we will discuss and calculate the square root of 424 squared. The problem in mathematical terms that we want to solve is displayed below:

√424²

We are doing two math operations: The radical sign √ means that you are taking the square root of 424 and the ² means to square 424. 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 424. Nevertheless, read on because we will show you different ways of calculating the square root of 424 squared to prove that the answer is 424.

We start by first taking the square root of 424 and then square that result to get our answer like this:

√424 = 20.5913

20.5913² = 424

Now, we will do the operations in opposite order where we first square 424 and then calculate the square root of the result:

424² = 179776

√179776 = 424

You may also find this math rule interesting when dealing with a problem like the square root of 424 squared:

√x² = √x · √x

It also proves that the square root of 424 squared equals 424.

√424² = √424 · √424

√424 · √424 = 20.5913 · 20.5913

20.5913 · 20.5913 = 424

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