Simplify (6-4√3)/(4+4√3) by rationalising the denominator
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Step-by-step explanation:
simplify 6-4√3|/6+4√3 by rationalizing the denominator
(6-4√3)/(6+4√3)
Multiplying numerator & denominator by 6 - 4√3
= (6-4√3)²/((6+4√3)(6-4√3))
Using ( a - b)² = a² + b² - 2ab
(a + b)(a -b) = a² - b²
6² = 36 (4√3)² = 48
= (36 + 48 - 48√3)/(36 - 48)
= (84 - 48√3)/(-12)
= -7 + 4√3
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