Here we will discuss and calculate the square root of 4760 squared. The problem in mathematical terms that we want to solve is displayed below:
√4760²
We are doing two math operations: The radical sign √ means that you are taking the square root of 4760 and the ² means to square 4760. 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 4760. Nevertheless, read on because we will show you different ways of calculating the square root of 4760 squared to prove that the answer is 4760.
We start by first taking the square root of 4760 and then square that result to get our answer like this:
√4760 = 68.9928
68.9928² = 4760
Now, we will do the operations in opposite order where we first square 4760 and then calculate the square root of the result:
4760² = 22657600
√22657600 = 4760
You may also find this math rule interesting when dealing with a problem like the square root of 4760 squared:
√x² = √x · √x
It also proves that the square root of 4760 squared equals 4760.
√4760² = √4760 · √4760
√4760 · √4760 = 68.9928 · 68.9928
68.9928 · 68.9928 = 4760
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