Square Root of 808 Squared (√808^2)

Square Root of 808 Squared

Here we will discuss and calculate the square root of 808 squared. The problem in mathematical terms that we want to solve is displayed below:

√808²

We are doing two math operations: The radical sign √ means that you are taking the square root of 808 and the ² means to square 808. 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 808. Nevertheless, read on because we will show you different ways of calculating the square root of 808 squared to prove that the answer is 808.

We start by first taking the square root of 808 and then square that result to get our answer like this:

√808 = 28.4253

28.4253² = 808

Now, we will do the operations in opposite order where we first square 808 and then calculate the square root of the result:

808² = 652864

√652864 = 808

You may also find this math rule interesting when dealing with a problem like the square root of 808 squared:

√x² = √x · √x

It also proves that the square root of 808 squared equals 808.

√808² = √808 · √808

√808 · √808 = 28.4253 · 28.4253

28.4253 · 28.4253 = 808

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