Question

Find the product of 3 √-3 and √-5

- 9 √15
- 3 √-15
- 3 √15
- 3 √-8

Answer 1

The product is equal to
`3√(15)`

Explanation:

Ok,

First, you have

`(3√(-3))(√(-5))`

We must follow the rule for multiplying radicals, in this case:

`(3\sqrt[2]{-3})(\sqrt[2]{-5})=(3\sqrt[2]{(-3)(-5)})`

Note that the types of root, n, have to match, in this case is 2 for each root

Then, we know that two negative numbers multiplied give a positive number, in this case

`(3\sqrt[2]{-3} )(\sqrt[2]{-5})=(3\sqrt[2]{(-3)(-5)})=(3\sqrt[2]{(15)})`

So, the correct answer is
`(3√(-3))(√(-5) )=3√(15)`