Question

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Answer 1

a) \(\left(2\sqrt{3}+\sqrt{5}\right).\sqrt{3}-\sqrt{60}=6+\sqrt{15}-2\sqrt{15}=6-\sqrt{15}\)

b) \(\left(5\sqrt{2}+2\sqrt{5}\right)\sqrt{5}-\sqrt{250}=5\sqrt{10}+10-5\sqrt{10}=10\)

c) \(\left(\sqrt{28}-\sqrt{12}-\sqrt{7}\right)\sqrt{7}+2\sqrt{21}=\sqrt{196}-\sqrt{84}-7+2\sqrt{21}\)

\(=14-7-2\sqrt{21}+2\sqrt{21}=7\)

d) \(\left(\sqrt{99}-\sqrt{18}-\sqrt{11}\right)\sqrt{11}+3\sqrt{22}=\sqrt{1089}-\sqrt{198}-11+3\sqrt{22}\)

\(=33-11-3\sqrt{22}+3\sqrt{22}=22\)