Square Root of 1524 Squared (√1524^2)

Square Root of 1524 Squared

Here we will discuss and calculate the square root of 1524 squared. The problem in mathematical terms that we want to solve is displayed below:

√1524²

We are doing two math operations: The radical sign √ means that you are taking the square root of 1524 and the ² means to square 1524. 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 1524. Nevertheless, read on because we will show you different ways of calculating the square root of 1524 squared to prove that the answer is 1524.

We start by first taking the square root of 1524 and then square that result to get our answer like this:

√1524 = 39.0384

39.0384² = 1524

Now, we will do the operations in opposite order where we first square 1524 and then calculate the square root of the result:

1524² = 2322576

√2322576 = 1524

You may also find this math rule interesting when dealing with a problem like the square root of 1524 squared:

√x² = √x · √x

It also proves that the square root of 1524 squared equals 1524.

√1524² = √1524 · √1524

√1524 · √1524 = 39.0384 · 39.0384

39.0384 · 39.0384 = 1524

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