Question

Rationalise the denominator 6 − 4√36 − 4√3
step by step​

Answer 1

6 - 4*6 - 4√3

= -18 - 4*1.732

= -24.928

Answer 2

Answer:

Given :-

➪ 6 - 4√3/6 + 4√3

Solution :-

➪ 6 - 4√3/6 + 4√3

➭ 6 - 4√3/6 + 4√3 × 6 - 4√3/6 - 4√3

➭ (6 - 4√3)²/(6)² - (4√3)²

➭ (6)² + (4√3)² - 2 × 6 × 4√3/36 - 48

➭ 36 + 48 - 48√3/- 12

➭ 84 - 48√3/- 12

➭ 12(7 - 4√3)/- 12

➭ - (7 - 4√3)

➭ - 7 + 4√3

➭ 4√3 - 7

∴ The answer of this question is

4√3 - 7

Formula used :-

➪ (a - b)²

➭ a² + b² - 2ab

➪ a² - b²

➭ (a + b) (a - b)