What is the following product? 3 root 5 times root 2

Step-by-step explanation:

First of all, you need to know that you cannot multiply those radicals without having a common index (the little number outside the radical that sits in the curve of the radical).  One is a 3 and the other, without being stated outright, is understood to be a 2.  BUT we can make them like.  The index of a radical is the denominator of the exponential equivalent.  

and

See how the indexes are now the denominators of the rational exponents.  We can make them like by finding the LCM of 3 and 2...which is 6:

and

Now that the indexes are like, we rewrite them as radicals again:

which, simplified, is

Now we can find the product which is

the least common denominator is 40

a

step-by-step explanation: