Question

Multiply and simplify: sqrt6(sqrt3+5sqrt2)

Answer 1

3sqrt(2)+10sqrt(3)

Answer 2

expand the brackets

\[\sqrt{6} \times \sqrt{3} = \sqrt{6\times3} = \sqrt{9 \times 2} = 3\sqrt{2}\]

the other term is

\[\sqrt{6} \times 5\sqrt{2} = 5\sqrt{6\times2} = 5\sqrt{4\times3} = 10\sqrt{3}\]

answer is \[3\sqrt{2} + 10\sqrt{3}\]