How do you simplify $(4 + 2 \sqrt{2}) (5 + 3 \sqrt{2})$ $(4+2sqrt2)(5+3sqrt2)$ ?

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How do you simplify $(4 + 2 \sqrt{2}) (5 + 3 \sqrt{2})$ $(4+2sqrt2)(5+3sqrt2)$ ?

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Answer 1 · 2015-06-04T15:32:29

You can multiply the two brackets as:
$= (4 \cdot 5) + (4 \cdot 3 \sqrt{2}) + (5 \cdot 2 \sqrt{2}) + (2 \cdot 3 \sqrt{2} \sqrt{2}) =$ $=(4*5)+(4*3sqrt(2))+(5*2sqrt(2))+(2*3sqrt(2)sqrt(2))=$
$= 20 + 12 \sqrt{2} + 10 \sqrt{2} + 12 =$ $=20+12sqrt(2)+10sqrt(2)+12=$
$= 32 + 22 \sqrt{2}$ $=32+22sqrt(2)$
$= 2 (16 + 11 \sqrt{2})$ $=2(16+11sqrt(2))$

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How do you simplify $(4 + 2 \sqrt{2}) (5 + 3 \sqrt{2})$ $(4+2sqrt2)(5+3sqrt2)$ ?

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How do you simplify $(4 + 2 \sqrt{2}) (5 + 3 \sqrt{2})$ $(4+2sqrt2)(5+3sqrt2)$ ?