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#