Rationalize the denominator of (2/((√(x+2)) + (√(x+1)) + (√x)))


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Question Number 59624 by naka3546 last updated on 12/May/19

$R a t i o n a l i z e t h e d e n o m i n a t o r o f$ $\frac{2}{\sqrt{x + 2} + \sqrt{x + 1} + \sqrt{x}}$
	Answered by MJS last updated on 12/May/19

	$\frac{1}{\sqrt{a} + \sqrt{b} + \sqrt{c}} = \frac{\sqrt{a} - \sqrt{b} - \sqrt{c}}{a - b - c - 2 \sqrt{b c}} =$ $= \frac{(\sqrt{a} - \sqrt{b} - \sqrt{c}) (a - b - c + 2 \sqrt{b c})}{a^{2} + b^{2} + c^{2} - 2 a b - 2 a c - 2 b c}$ $now do it yourself$
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