Square Root of 738 Squared (√738^2)

Square Root of 738 Squared

Here we will discuss and calculate the square root of 738 squared. The problem in mathematical terms that we want to solve is displayed below:

√738²

We are doing two math operations: The radical sign √ means that you are taking the square root of 738 and the ² means to square 738. 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 738. Nevertheless, read on because we will show you different ways of calculating the square root of 738 squared to prove that the answer is 738.

We start by first taking the square root of 738 and then square that result to get our answer like this:

√738 = 27.1662

27.1662² = 738

Now, we will do the operations in opposite order where we first square 738 and then calculate the square root of the result:

738² = 544644

√544644 = 738

You may also find this math rule interesting when dealing with a problem like the square root of 738 squared:

√x² = √x · √x

It also proves that the square root of 738 squared equals 738.

√738² = √738 · √738

√738 · √738 = 27.1662 · 27.1662

27.1662 · 27.1662 = 738

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