Question

$\sqrt{17 + 4 \sqrt{3} } - \sqrt{17 - 4 \sqrt{3 } }$
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Answer 1

Answer:

$\sqrt{17 + 4 \sqrt{3} } - \sqrt{17 - 4 \sqrt{3} } \\ \\ \sqrt{17 + 4 \sqrt{3} } = \sqrt{17 - 4 \sqrt{3} } \\ \\ squaring \: both \: side \\ \\ 17 + 4 \sqrt{3} = 17 - 4 \sqrt{3} \\ \\ 4 \sqrt{3 } = - 4 \sqrt{3} \\ \\ 4 \sqrt{3} + 4 \sqrt{3} = 0 \\ \\ 8 \sqrt{3}$