Question

Find the product of the squre root of 30 and 6 to the sq root of 10 could someone help me please

Answer 1

\[\sqrt{30} * \sqrt{6} = \sqrt{2*3*5} * \sqrt{2*3}\]
This can be written \[\sqrt{2*2*3*3*5}\]
This can be written \[\sqrt{4}*\sqrt{9}*\sqrt{5}\]
Which can be written 2*3\[\sqrt{5}\]
Which is 6\[\sqrt{5}\]

Answer 2

Now we multiply the previous answer by \[\sqrt{10}\]
Again write out fully
= 6*\[\sqrt{5}*\sqrt{2}*\sqrt{5}\]
=6*5*\[\sqrt{2}\]
= 30 * \[\sqrt{2}\]