Simplifying roots

The question

Check this line: √(96x²) + √(6x²) = 5x. Which is correct?

√(96x²) + √(6x²)

√(96x²) + √(6x²)=4x√6 + x√6

√(96x²) + √(6x²)=5x√6

they wrote:5x

Do the step yourself first, then compare with their line.
On your own, writing every step: √(96x²) + √(6x²) becomes 4x√6 + x√6.
Tidy that up and it is 5x√6.
Now compare. They wrote 5x, and the part that would not come out was dropped — so the correct answer is 5x√6.

How it works.

01
Do the step yourself first, then compare with their line.
02
On your own, writing every step: √(96x²) + √(6x²) becomes 4x√6 + x√6.
03
Tidy that up and it is 5x√6.
04
Now compare. They wrote 5x, and the part that would not come out was dropped — so the correct answer is 5x√6.