Question

Rationalise the denominators of the following : 6-4root3/6+4root3

Answer 1

6 - 4√3 / 6 + 4√3 × 6 - 4√3 / 6 - 4√3

(6 - 4√3)² / (6)² - (4√3)²

36 + 48 - 48√3 / 36 - 48

84 - 48√3 / -12

Take a 6 common from numerator

6 ( 14 - 8√3) / -12

Then cancel out 6 and -12
and again take to as a common in numerator.

-2 ( 7 - 4√3) / 1

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