Question

simplify the expression 3 divided by root 48 minus root 75

Answer 1

I think this is the answer......s I got it man

Answer 2

Heya friend,
Here is the answer you were looking for:
$\frac{3}{ \sqrt{48} - \sqrt{75} } \\ \\ = \frac{3}{ \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{5 \times 5 \times 3} } \\ \\ \\ = \frac{3 }{2 \times 2 \sqrt{3} - 5 \sqrt{3} } \\ \\ = \frac{3}{4 \sqrt{3} - 5 \sqrt{3} } \\ \\ = \frac{3}{ - \sqrt{3} } \\ \\ = - \frac{3}{ \sqrt{3} }$

On rationalizing the denominator we get,

$= - \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = - \frac{3 \sqrt{3} }{3} \\ \\ = - \sqrt{3}$

Hope this helps!!!

Feel free to ask in the comment section if you have any doubt regarding to my answer...

@Mahak24

Thanks...
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