How do I work out ${10\sqrt 30}\over{ 5\sqrt5}$ $?$

Question

I am told the answer is $10\sqrt 6$ but I keep getting $2\sqrt 6$. How do I get $10\sqrt6$ as the answer$?$

Answer 1

It depends on the order of the operations. The way you phrased it I'd say $2\sqrt{6}$ is correct.

$$10\cdot \sqrt{30} / (5\cdot \sqrt{5})=2\sqrt{6}$$ $$10\cdot\sqrt{30}/5\cdot \sqrt{5}=10\sqrt{6}$$