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

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Answer 1 · 2015-04-13T08:37:24

The Distributive Property of Multiplication tells us that $color(blue)(a*(b + c ) = a*b + a* c$

$color(red)(2sqrt5(3+sqrt2)$

$= (2sqrt5)*3+(2sqrt5)*sqrt2$

$= 6sqrt5+2(sqrt5*sqrt2)$

$= 6sqrt5+2(sqrt(5*2))$ (Because $color(blue)(sqrta*sqrtb = sqrt(a*b)$

$color(green)(= 6sqrt5+2sqrt(10)$

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