Question

simplify
$2 \sqrt{50 + \: \: \: \: \: \: \: 3 \sqrt{32 \di + 4 \sqrt{18} } }$
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Answer 1

=2×25√2+3×16√2+4×9√2

=50√2+48√2+36√2

=98√2+36√2

=134√2Answer

Answer 2

Step-by-step explanation:

$2 \sqrt{50 +3 \sqrt{32 + 4 \sqrt{18} } } \\ \\ \\ = > 2 \sqrt{50 + 3 \sqrt{32 + 4 \sqrt{9 \times 2} } } \\ \\ \\ \\ = > 2 \sqrt{50 + 3 \sqrt{32 + 12 \sqrt{2} } } \\ \\ = > 2 \sqrt{50 + 3 \sqrt{16 \times 2 + 12 \sqrt{2} } } \\ \\ \\ = > 2 \sqrt{50 + 3 \sqrt{16 \times 2} + 3 \sqrt{12 \sqrt{2} } } \\ \\ = > 2 \sqrt{50 + 12 \sqrt{2} + 6 \sqrt{12} } \\ \\ \\ = > 2 \sqrt{50 + 12 \sqrt{2} + 12 \sqrt{2} } \\ \\ \\ = > 2 \sqrt{50 + 24 \sqrt{2} } \\ \\ = > 2 \sqrt{50} + 2 \sqrt{24 \sqrt{2} } \\ \\ \\ = > 10 \sqrt{2 } + 4 \sqrt{24} \\ \\ \\ = > 10 \sqrt{2} + 8 \sqrt{6} \\ \\ = > > 10 \times 1.41 + 8 \times 2.44 \\ \\ \\ = > 14.1 + 19.59 = > 33.69 \: \: ans......$

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