How do you simplify $12sqrt(-98) - 4sqrt(-50)$ ?

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Answer 1 · 2015-11-19T15:33:20

$12sqrt(-98)-4sqrt(-50) = 64sqrt(2)i$

$12sqrt(-98)$
$color(white)("XX")=12*sqrt(98)i$

$color(white)("XX")=12*sqrt(7^2*2)i$

$color(white)("XX")=12*7sqrt(2)i$

$color(white)("XX")=84sqrt(2)i$

$4sqrt(-50)$
$color(white)("XX")=4*sqrt(50)i$

$color(white)("XX")=4*sqrt(5^2*2) i$

$color(white)("XX")=4*5sqrt(2)i$

$color(white)("XX")=20sqrt(2)i$

Therefore:
$12sqrt(-98)-4sqrt(-50)$
$color(white)("XX")=84sqrt(2)i-20sqrt(2)i$

$color(white)("XX")=64sqrt(2)i$

How do you simplify 12sqrt(-98) - 4sqrt(-50)12sqrt(-98) - 4sqrt(-50)?