## anonymous 5 years ago Find the product of the squre root of 30 and 6 to the sq root of 10 could someone help me please

1. anonymous

$\sqrt{30} * \sqrt{6} = \sqrt{2*3*5} * \sqrt{2*3}$ 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$\sqrt{5}$

2. anonymous

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 * $\sqrt{2}$