Question

simplify :(4 root 3 +3 root 2 ) x (4 root 3 -3 root 2)

Answer 1

Hope this will help u......

Answer 2

$Value \: of \: (4\sqrt{3} + 3\sqrt{2})(4\sqrt{3} - 3\sqrt{2}) \\= (4\sqrt{3})^{2} - (3\sqrt{2})^{2}$

$\blue { ( By \: Algebraic \: Identity )}$

$\boxed { \pink { ( a + b) ( a - b ) = a^{2} - b^{2} }}$

$= 4\sqrt{3} \times 4\sqrt{3} - 3\sqrt{2} \times 3\sqrt{2} \\= 16 \times 3 - 9 \times 2 \\= 48 - 18 \\= 30$

Therefore.,

$\red{Value \: of \: (4\sqrt{3} + 3\sqrt{2})(4\sqrt{3} - 3\sqrt{2})} \green {= 30 }$

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