Question

rationalise the denominator 3/4√5-√3+2/4√5+√3

Answer 1

this is an example answer seeing thi s you can solve yours

Hiii friend,

5✓3-4✓2/4✓3+3✓2

Rationalizing the denominator 4✓3+3✓2

=>. 5✓3-4✓2/4✓3+3✓2 × 4✓3-3✓2/4✓3-3✓2

we know that,

(A+B)(A-B) = A²-B²

So,

=> (5✓3-4✓2)(4✓3-3✓2)/(4✓3+3✓2)(4✓3-3✓2)

=> 5✓3(4✓3-3✓2)-4✓2(4✓3-3✓2)/(4✓3)² - (3✓2)²

=> 20 × 3 - 15✓6 - 16✓6 + 12 × 2 / 48 - 18

=> 60 - 31✓6 + 24/30

=> 84-31✓6/30

HOPE IT WILL HELP YOU..... :-)