The value of 12−68+482= - Infinity Learn

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

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

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

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

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

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

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

$= 2 - \sqrt{2}$

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