Question

$\huge \underline{ \sf \color{indigo}{Question }}$

$\sf{ simplify : (4 \sqrt{3} - 3 \sqrt{5} ){}^{2} }$

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Answer 1

Answer:

$(4 \sqrt{3) { }^{2} } + (3 \sqrt{5) ^{2} } - 2(4 \sqrt{3)(3 \sqrt{5)} } \\ 16(3) + 9(5) - 24 \sqrt{15} \\ 93 - 24 \sqrt{15}$

Answer 2

$= ( 4 \sqrt{3} - 3 \sqrt{5} ) {}^{2} \\ \\ = (4 \sqrt{ 3 } ) {}^{2} + (3 \sqrt{5} ) {}^{2} - 2 \times 4 \sqrt{3} \\ \times 5 \sqrt{2} \\ \\ = 48 + 45 -8 \sqrt{3} \times 3\sqrt{5} \\ \\ = 98 - 24 \sqrt{15}$