Answer:
Option A
Explanation:
$\sqrt{10+ \sqrt{25+\sqrt{108+ \sqrt{154+ 15}}}}$
$= \sqrt{10+ \sqrt{25+\sqrt{108+\sqrt{169}}}}$
$= \sqrt{10+ \sqrt{25+\sqrt{108+ 13}}}$
$= \sqrt{10+ \sqrt{25+\sqrt{212}}}$
$= \sqrt{10+ \sqrt{25+11}}$
$= \sqrt{10+ \sqrt{36}}$
$= \sqrt{10+ 6}$
$= \sqrt{16} $
$=4$