Question

5√15-2√2+√60+7√8-6√3·√5+√32

Answer 1

$5\sqrt{15}-2 \sqrt{2}+ \sqrt{60}+7 \sqrt{8}-6 \sqrt{3} *\sqrt{5} + \sqrt{32}= \\ \\ 5\sqrt{15}-2 \sqrt{2}+ 2\sqrt{15}+7 *2\sqrt{2}-6 \sqrt{15}+4 \sqrt{2}= \\ \\ 5\sqrt{15}-2 \sqrt{2}+ 2\sqrt{15}+14\sqrt{2}-6 \sqrt{15}+4 \sqrt{2}= \\ \\ (5+2-6)* \sqrt{15}+(-2+14+4)* \sqrt{2}= \\ \\ =\sqrt{15}+16 \sqrt{2} \\ \\ 5\sqrt{15}-2 \sqrt{2}+ \sqrt{60}+7 \sqrt{8}-6 \sqrt{3} *\sqrt{5} + \sqrt{32}=\sqrt{15}+16 \sqrt{2}$