Question

$\sqrt{15 - \sqrt{32 + \sqrt{25 - \sqrt{81 } } } }$
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Answer 1

$\sqrt{15 - \sqrt{32 + \sqrt{25 - \sqrt{81} } } } \\ \sqrt{15 - \sqrt{32 + \sqrt{25 - 9} } } \\ \sqrt{15 - \sqrt{32 + \sqrt{16} } } \\ \sqrt{15 - \sqrt{32 + 4} } \\ \sqrt{15 - \sqrt{36} } \\ \sqrt{15 - 6} \\ \sqrt{9} \\ 3$

Answer 2

$\sqrt{15 - \sqrt{32 + \sqrt{25 - \sqrt{81 } } } }$

$\sqrt{15 - \sqrt{32 + \sqrt{25 - 9} } }$

$\sqrt{15 - \sqrt{32 + \sqrt{16} } }$

$\sqrt{15 - \sqrt{32+4 } }$

$\sqrt{15 - \sqrt{36 } }$

$\sqrt{15 - 6 }=\sqrt{9}=3$

$\boxed{\boxed{ \sqrt{15 - \sqrt{32 + \sqrt{25 - \sqrt{81 } } } }=3}}$