Question

simplify 6-4√3/6+4√3 by rationalising the denominator​

Answer 1

Answer:

4√3 - 7

Step-by-step explanation:

6-4√3 / 6+4√3 × 6-4√3 / 6-4√3

(6-4√3)^2 / (6+4√3) (6-4√3)

(6)^2 + (4√3)^2 - 2×6×4√3 / (6)^2 - (4√3)^2

36+48-48√3 / 36-48

84 - 48√3 / -12

12(7 - 4√3) / -12

7-4√3 / -1

-(7-4√3)

4√3 - 7.

Hope it might help you ❤

Answer 2

6 - 4 √3 / 6 + 4√3 = (6 - 4√3 )^2 / (6^2 - (4√3) ^2)

= 6^2 - 48√3 + 48 / 36 - 48

= 84 - 48√3 / -12

= 21 - 12√3 / -3

= -( 7 - 4√3)

= -7 + 4√3