Question

on simplyfying (√5 + √7)², we get
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Answer 1

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❥︎ Given :

$( \sqrt{5} + \sqrt{7} ) {}^{2}$

❥︎ To Find :

Its simplest form

❥︎ Solution :

We know that,

$\fbox {(a + b)² = a² + 2ab + b²}$

Now, we can solve it by using identity,

→ $( \sqrt{5} + \sqrt{7} ) {}^{2}$

→ $( \sqrt{5}) {}^{2} + 2( \sqrt{5} )( \sqrt{7} ) + ( \sqrt{7} ) {}^{2}$

→ $5 + 2 \sqrt{35} + 7$

→ $= 12 + 2 \sqrt{35}$

$\implies \textbf {Hence, the answer is} \; 12 + 2 \sqrt{35}$.

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