How do you simplify $(2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))$ ?

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Answer 1 · 2018-08-04T02:55:06

$color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)$

$(2 sqrt3 + 3 sqrt20 - (4 sqrt2 - 3 sqrt5 - 2 sqrt6)$

$=> 2 sqrt3 + 3 sqrt2 - 4 sqrt2 + 3 sqrt5 + 2 sqrt6, " Removing bracess"$

$=> 2 sqrt3 - sqrt2 + 3 sqrt 5 + 2 sqrt2 * sqrt3$

$=> (2 sqrt3 + sqrt2 * 2 sqrt3) - sqrt2 + 3 sqrt5$

$color(brown)(=> 2 sqrt3 (1 + sqrt2) - sqrt2 + 3 sqrt5)$

How do you simplify (2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))(2 sqrt(3)+3 sqrt(2)) - (4 sqrt(2)-3 sqrt(5)-2 sqrt(6))?