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

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

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

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

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

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

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

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