13−160=

$\sqrt{13 - \sqrt{160}} =$

A
$2 \sqrt{2} - \sqrt{5}$
B
$\sqrt{8} - 5$
C
$8 - \sqrt{5}$
D
$\sqrt{2} - \sqrt{5}$

Solution:

$\sqrt{13 - \sqrt{160}}$

$= \sqrt{13 - 2 \sqrt{8 \times 5}}$

$= \sqrt{8} - \sqrt{5}$

$= 2 \sqrt{2} - \sqrt{5}$

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