Here we will discuss and calculate the square root of 4499 squared. The problem in mathematical terms that we want to solve is displayed below:
√4499²
We are doing two math operations: The radical sign √ means that you are taking the square root of 4499 and the ² means to square 4499. 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 4499. Nevertheless, read on because we will show you different ways of calculating the square root of 4499 squared to prove that the answer is 4499.
We start by first taking the square root of 4499 and then square that result to get our answer like this:
√4499 = 67.0746
67.0746² = 4499
Now, we will do the operations in opposite order where we first square 4499 and then calculate the square root of the result:
4499² = 20241001
√20241001 = 4499
You may also find this math rule interesting when dealing with a problem like the square root of 4499 squared:
√x² = √x · √x
It also proves that the square root of 4499 squared equals 4499.
√4499² = √4499 · √4499
√4499 · √4499 = 67.0746 · 67.0746
67.0746 · 67.0746 = 4499
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