Respuesta :

Answer:

square root of 48 or 4 root 3

ANSWER

[tex] 4 \sqrt{3} [/tex]


EXPLANATION

We want to simplify;

[tex] {48}^{ \frac{1}{2} } [/tex]

We rewrite this as


[tex] = \sqrt{48} [/tex]

We try to remove the perfect square to obtain,

[tex] = \sqrt{16 \times 3} [/tex]


Recall that,

[tex] \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} [/tex]


We apply this property to obtain,



[tex] = \sqrt{16} \times \sqrt{3} [/tex]

This simplifies to,

[tex] = 4 \sqrt{3} [/tex]