Question

Evaluate: (3√2 − 3√3)(2√2 + 4√2)

Answer 1

HOPE YOU UNDERSTAND THE ANSWER

Answer 2

SOLUTION

TO EVALUATE

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

EVALUATION

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

$= \sf{(3 \sqrt{2} - 3 \sqrt{3} ) \times 6 \sqrt{2}}$

$= \sf{6 \sqrt{2} \times (3 \sqrt{2} - 3 \sqrt{3} ) }$

$= \sf{(6 \sqrt{2} \times 3 \sqrt{2} ) - (6 \sqrt{2} \times 3 \sqrt{3} ) }$

$= \sf{(6 \times 3 \times 2 ) - (6 \times 3 \times \sqrt{2 \times 3} ) }$

$= \sf{36 - 18 \sqrt{6} }$

FINAL ANSWER

$\sf{(3 \sqrt{2} - 3 \sqrt{3} )(2 \sqrt{2} + 4 \sqrt{2} )} = 36 - 18 \sqrt{6}$

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