Question

If $\sqrt{m}$ + $\sqrt{n}$ - $\sqrt{p}$ = 0 then prove that m + n - p = 4mn

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Answer 1

Step-by-step explanation:

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Answer 2

Correct Question:

If $\bold{\sqrt{m} + \sqrt{n} - \sqrt{p} = 0}$

then prove that

$\bold{{(m + n - p)}^{2}= 4mn}$

Step-by-step explanation:

It is given that,

$\sqrt{m} + \sqrt{n} - \sqrt{p} = 0$

Adding √p on both sides,

we get,

$= > \sqrt{m} + \sqrt{n} = \sqrt{p}$

Now, squaring both sides, we get

$= > {( \sqrt{m} + \sqrt{n}) }^{2} = {( \sqrt{p}) }^{2} \\ \\ = > m + n + 2 \sqrt{mn} = p \\ \\ = > m + n - p = - 2 \sqrt{mn}$

Again,

squaring both sides,

we get,

${(m + n + p)}^{2} = {( - 2 \sqrt{mn} )}^{2} \\ \\ = > {(m + n + p)}^{2} = 4mn$

Hence, Proved