Упростить выражение.

$\sqrt{26 - 8\sqrt{2 + \sqrt{9 + \sqrt{32} } } } = \sqrt{26 -8 \sqrt{2 + \sqrt{ {1}^{2} + 2 \times 2 \sqrt{2} + {(2 \sqrt{2} )}^{2} } } } = \sqrt{26 - 8 \sqrt{2 + \sqrt{ {(1 + 2 \sqrt{2}) }^{2} } } } = \\ = \sqrt{26 - 8 \sqrt{2 + 1 + 2 \sqrt{2} } } = \sqrt{26 - 8 \sqrt{3 + 2 \sqrt{2} } } = \sqrt{26 - 8 \sqrt{ {( \sqrt{2}) }^{2} + 2 \sqrt{2} + {1}^{2} } } = \sqrt{26 - 8 \sqrt{ {( \sqrt{2} + 1) }^{2} } } = \\ = \sqrt{26 - 8( \sqrt{2} + 1)} = \sqrt{26 - 8 \sqrt{2} - 8} = \sqrt{18 - 8 \sqrt{2} } = \sqrt{2(9 - 4 \sqrt{2)} } = \sqrt{2 {(2 \sqrt{2 } - 1)}^{2} } = \sqrt{2} (2 \sqrt{2} - 1) = 4 - \sqrt{2} \\$

ОТВЕТ: 4 - V2