How do you simplify #-2sqrt(294)#?

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Answer 1 · 2015-07-27T16:36:44

#color(blue)(=-14sqrt6#

#sqrt294# can be simplified by prime factorising #294#

Here, #294# is expressed as a product of its prime factors.

#sqrt294=sqrt(2*3*7*7)#

#=sqrt(2*3*7^2)#

#=color(green)(7sqrt6#

So,#-2sqrt294 = -2*color(green)((7sqrt6)#

#color(blue)(=-14sqrt6#