Square Root of 1300 Squared (√1300^2)

Square Root of 1300 Squared

Here we will discuss and calculate the square root of 1300 squared. The problem in mathematical terms that we want to solve is displayed below:

√1300²

We are doing two math operations: The radical sign √ means that you are taking the square root of 1300 and the ² means to square 1300. 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 1300. Nevertheless, read on because we will show you different ways of calculating the square root of 1300 squared to prove that the answer is 1300.

We start by first taking the square root of 1300 and then square that result to get our answer like this:

√1300 = 36.0555

36.0555² = 1300

Now, we will do the operations in opposite order where we first square 1300 and then calculate the square root of the result:

1300² = 1690000

√1690000 = 1300

You may also find this math rule interesting when dealing with a problem like the square root of 1300 squared:

√x² = √x · √x

It also proves that the square root of 1300 squared equals 1300.

√1300² = √1300 · √1300

√1300 · √1300 = 36.0555 · 36.0555

36.0555 · 36.0555 = 1300

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