Question

Simplify the following (4√3-2√2)(3√2+4√3)​

Answer 1

$\small\sf(4 \sqrt{3} - 2 \sqrt{2} )(3 \sqrt{2} + 4 \sqrt{3} )$

$\rightarrow \small \sf4 \sqrt{3} (3 \sqrt{2} + 4 \sqrt{3} ) - 2 \sqrt{2} (3 \sqrt{2} + 4 \sqrt{3} )$

$\rightarrow \sf \small4 \sqrt{3} (3 \sqrt{2}) +( 4 \sqrt{3} )^{2} - 2 \sqrt{2} (3 \sqrt{2} ) - 2 \sqrt{2} (4 \sqrt{3} )$

$\rightarrow \sf \small12 \sqrt{6} + 48 - 12 - 8 \sqrt{6}$

$\rightarrow \sf \small12 \sqrt{6} - 8 \sqrt{6} + 48 - 12$

$\rightarrow \sf \small4 \sqrt{6} + 36$

$\rightarrow \sf \small4( \sqrt{6} + 9)$

• Hence the answer is 4(√6+9)