Question

Simplify square root 4x squared

Answer 1

`√(4x^2)=2|x|`

Explanation:

We are given the radical
`√(4x^2)` and we have to simplify it down as much as possible.

We first will have to find out what numbers are inside the square root, we can see that there is a 4 and an
`x^2`, of which both can be taken out of the square root by simplification.

The square root of 4 is 2, and the square root of
`x^2` is
`x`.

Due to how radicals work, we have to multiply 2 and
`x`, but before that, we have to preserve how the radical was beforehand. We know that a radical cannot have a negative radicand, and due to that we must add absolute value to keep the equation's original status the same.

To sum it all up, our answer is
`2|x|`, due to us simplifying it down, and applying absolute value to preserve the answer before it was simplified.

Cheers!