Question

Simplify the following expression 48^1/2

Answer 1

square root of 48 or 4 root 3

Answer 2

ANSWER


`4 √(3)`


Step-by-step explanation

We want to simplify;


`{48}^{ (1)/(2) }`

We rewrite this as



`= √(48)`

We try to remove the perfect square to obtain,


`= √(16 * 3)`


Recall that,


`√(a * b) = √(a) * √(b)`


We apply this property to obtain,




`= √(16) * √(3)`

This simplifies to,


`= 4 √(3)`