Question

Rationalise the denominator√3-√5/√7-√6​

Answer 1

√21 + 3√2 - √35 - √30

Explanation:

Given :-

√3 - √5 / √7 - √6

Solving :-

= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)

= √21 + √18 - √35 - √30 / 7 - 6

= √21 + 3√2 - √35 - √30

Solution :-

√21 + 3√2 - √35 - √30

Answer 2

⇒√21+√18-√35-√30

Explanation:

`(√(3)-√(5) )/(√(7)-√(6) ) \\\\(√(3)-√(5) )/(√(7)-√(6) )*\frac{{√(7)+√(6) }}{{√(7)+√(6) }} \\\\((√(3)-√(5))*(√(7)+√(6) ) )/((√(7))^(2)-(√(6))^(2) ) } \\\\(√(21)+√(18) -√(35)-√(30) )/(7-6)\\\\√(21)+√(18) -√(35)-√(30)`