How do you simplify $(2sqrt5+3sqrt2)^2$ ?

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Answer 1 · 2016-07-05T15:33:51

$38+12sqrt(10)$

$color(blue)((2sqrt(5)+3sqrt(2))color(brown)((2sqrt(5)+3sqrt(2))$

$color(brown)(color(blue)(2sqrt(5)color(brown)((2sqrt(5)+3sqrt(2))color(blue)(" "+" "3sqrt(2)color(brown)((2sqrt(5)+3sqrt(2))$

$(4xx5)+6sqrt(5)sqrt(2)" "+" "6sqrt(5)sqrt(2)+(9xx2)$

$20+12sqrt(5)sqrt(2)+18$

But $sqrt(5)sqrt(2)" is the same as "sqrt(5xx2)= sqrt(10)$

$20+18+12sqrt(10)$

$38+12sqrt(10)$

How do you simplify (2sqrt5+3sqrt2)^2(2sqrt5+3sqrt2)^2?