Square Root of 148 Squared (√148^2)

Square Root of 148 Squared

Here we will discuss and calculate the square root of 148 squared. The problem in mathematical terms that we want to solve is displayed below:

√148²

We are doing two math operations: The radical sign √ means that you are taking the square root of 148 and the ² means to square 148. 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 148. Nevertheless, read on because we will show you different ways of calculating the square root of 148 squared to prove that the answer is 148.

We start by first taking the square root of 148 and then square that result to get our answer like this:

√148 = 12.1655

12.1655² = 148

Now, we will do the operations in opposite order where we first square 148 and then calculate the square root of the result:

148² = 21904

√21904 = 148

You may also find this math rule interesting when dealing with a problem like the square root of 148 squared:

√x² = √x · √x

It also proves that the square root of 148 squared equals 148.

√148² = √148 · √148

√148 · √148 = 12.1655 · 12.1655

12.1655 · 12.1655 = 148

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