Question

Simplify the following equation
(✓5+√7)² ​

Answer 1

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

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identity used

$(x + y) {}^{2} = {x}^{2} + y {}^{2} + 2xy$

On simplyfing

$( \sqrt{5 } + \sqrt{7} ) {}^{2} \\ =( \sqrt{5} ) {}^{2} + ( \sqrt{7} ) {}^{2} + 2 \times \sqrt{5} \times \sqrt{7} \\ = 5 + 7 + 2 \sqrt{35 } \\ = 12 + 2 \sqrt{35}$

Important

$• \: ( \sqrt{x} ) {}^{2} = x \\ • \: \sqrt{x} \times \sqrt{y} = \sqrt{xy}$

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Answer 2

Step-by-step explanation:

Sorry copied from above