Question

(\(\sqrt{12}\)+\(\sqrt{75}\)+\(\sqrt{27}\)):\(\sqrt{15}\)

Answer 1

= ( 2\(\sqrt{3}\) + 5\(\sqrt{3}\) + 3\(\sqrt{3}\) ):\(\sqrt{15}\)

=10\(\sqrt{3}\) :( \(\sqrt{3}\times\sqrt{5}\) )

=2\(\times\)5\(\times\)\(\sqrt{3}\) : \(\sqrt{3}\) :\(\sqrt{5}\)

=2\(\sqrt{5}\)

Answer 2

=\(\left(2\sqrt{3}+5\sqrt{3}+3\sqrt{3}\right):\left(\sqrt{5}.\sqrt{3}\right)\)

=\(10\sqrt{3}:\left(\sqrt{5}.\sqrt{3}\right)\)

=\(10:\sqrt{5}\)

=2\(\sqrt{5}\)