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  4. Simplify: 2 √32-5 √2+3 √128

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Q. Simplify: $2 \sqrt{32}-5 \sqrt{2}+3 \sqrt{128}$

Real Numbers

Solution:

$2 \sqrt{32}-5 \sqrt{2}+3 \sqrt{128} $
$ =2 \sqrt{16 \times 2}-5 \sqrt{2}+3 \sqrt{64 \times 2} $
$ =8 \sqrt{2}-5 \sqrt{2}+24 \sqrt{2} $
$=27 \sqrt{2}$