Question

2√2(√2-√10)+√3(√3+√15)

Answer 1

your first job is to multiply out using the distributive law
\[2\sqrt{2}\times \sqrt{2}-2\sqrt{2}\times \sqrt{10}+\sqrt{3}\times \sqrt{3}+\sqrt{3}\times \sqrt{15}\]

Answer 2

some of these are easy, for example \(\sqrt{2}\times \sqrt{2}=2\) and \(\sqrt{3}\times \sqrt{3}=3\)

Answer 3

this gives
\[4-2\sqrt{20}+3+\sqrt{45}=7-2\sqrt{20}+\sqrt{45}\]

Answer 4

then \(20=4\times 5\) so \(\sqrt{20}=\sqrt{4}\sqrt{5}=2\sqrt{5}\)
so you have
\[7-4\sqrt{5}+\sqrt{45}\]
now repeat the same process with \(\sqrt{45}\) and finally combine like terms

Answer 5

@satellite73 7-2√5 +3 √5 ?

Answer 6

\[7-\sqrt{5}\]

Answer 7

that should be your answer

Answer 8

satellite deserve all the credit