Question

rationalise 3/ root 48 - root 75​

Answer 1

given :- 3/(√48 - √75)

√48 can be written as :-

= √(2 × 2 × 2 × 2 × 3)

= 4√3

similarly √75 can be written as :-

= √(3 × 5 × 5)

= 5√3

$\tt = \frac{3}{4 \sqrt{3} - 5 \sqrt{3} } \\ \\ \tt = \frac{3}{ - \sqrt{3} } = \frac{ - 3}{ \sqrt{3} } \\ \\ \tt = \frac{ - 3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ \tt = \frac{ - 3( \sqrt{3} )}{ \sqrt{3} \times \sqrt{3} } \\ \\ \tt = \frac{ - \cancel3 \sqrt{3} }{ \cancel3} \\ \\ \tt = \boxed{ - \sqrt{3}}$

Answer 2

Answer is in the attachment