Question

If
$\sqrt{u} + \sqrt{v} - \sqrt{w } = 0$
find the value of
$(u + v - w)$
​

Answer 1

$\huge{\bold{\red{\underbrace{\color{blue}{Answer}}}}}$

Given:

$\sqrt{u} + \sqrt{v} + \sqrt{w} = 0$

To find:

Value of $u + v - w$

Solution:

$∵ \sqrt{u} + \sqrt{v} + \sqrt{w}$

$∴ \sqrt{u } + \sqrt{v} = \sqrt{w}$

Squaring both sides, we get:-

$\implies{u + v + 2 \sqrt{uv} = w}$

$\implies{u + v - w = 2 \sqrt{uv}}$

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