Question

Which expression is equivalent to √48x5, if x> 0?

A. 12x³√3x
B. 4x³√3
C. 4x²√3x
D. 12x²√

Answer 1

C. 4x²√(3x)

Explanation:

if x > 0

`\sqrt{48x^(5)} =√(48) * \sqrt{x^(5)}`

`=√(16* 3) * \sqrt{x^(4)* x}`

`=√(16) * √(3) * \sqrt{x^(4)} * √(x)`

`=4* √(3) * \sqrt{\left( x^(2)\right)^(2) } * √(x)`

`=4* √(3) * x^(2)* √(x)`

`=4* x^(2) * √(3) * √(x)`

`=4* x^(2)* √(3x)`