The value of $$12$$−$$68+482=$$

$$12$$−$$68+482=12$$−$$68+224$$×$$24$$×$$2=12$$−$$68+232$$×$$36=12$$−$$(36+32)=12$$−$$(6+28)=6$$−$$24$$×$$2=4$$−$$2=2$$−$$2$$

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The value of $\sqrt{12 - \sqrt{68 + 48 \sqrt{2}}} =$

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1 + \sqrt{2}

2 + \sqrt{2}

1 - \sqrt{2}

2 - \sqrt{2}

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detailed solution

Correct option is D

$\sqrt{12 - \sqrt{68 + 48 \sqrt{2}}}$

$= \sqrt{12 - \sqrt{68 + 2 \sqrt{24 \times 24 \times 2}}}$

$= \sqrt{12 - \sqrt{68 + 2 \sqrt{32 \times 36}}}$

$= \sqrt{12 - (\sqrt{36} + \sqrt{32})}$

$= \sqrt{12 - (6 + 2 \sqrt{8})}$

$= \sqrt{6 - 2 \sqrt{4 \times 2}}$

$= \sqrt{4} - \sqrt{2}$

$= 2 - \sqrt{2}$

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The value of 12−68+482=

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The value of $\sqrt{12 - \sqrt{68 + 48 \sqrt{2}}} =$