How do you simplify #sqrt(14x)(3-sqrt(2x))#?

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Answer 1 · 2018-07-27T12:01:43

#3\sqrt{14x}-2x\sqrt{ 7}#

Given that

#\sqrt{14x}(3-\sqrt{2x})#

#=3\sqrt{14x}-\sqrt{2x}\sqrt{14x}#

#=3\sqrt{14x}-\sqrt{2x\cdot 14x}#

#=3\sqrt{14x}-\sqrt{(2x)^2\cdot 7}#

#=3\sqrt{14x}-\sqrt{(2x)^2}\sqrt{ 7}#

#=3\sqrt{14x}-2x\sqrt{ 7}#