Question

Simplify by rationalising the denominator: 6- 4√3
6 +4√3

Answer 1

Answer:

$4 \sqrt{3 } - 7$

Step-by-step explanation:

$\frac{ ({6 - 4 \sqrt{3} })^{2} }{ {6}^{2} - ({4 \sqrt{3} })^{2} }$

$\frac{{6}^{2} +( {4 \sqrt{3} })^{2} - 2(6)(4 \sqrt{3)} }{36 - 48}$

$\frac{36 + 48 - 48 \sqrt{3} }{ - 12}$

$\frac{84 - 48 \sqrt{3}}{ - 12}$

$\frac{12(7 - 4 \sqrt{3)} }{ - 12}$

$- 7 + 4 \sqrt{3}$