Question

4.
Multiply the radicals and simplify your answer

√3x √5 × √6

Answer 1

3 *
`√(10)`

Explanation:

Radicals can be multiplied like regular numbers, so:

`√(x) * √(y) = √(x*y)`

thus,

`√(3) * √(5) * √(6) = √(90) = √(9 * 10) =√(9) * √(10) = 3 √(10)`
10 contains no squares as factors (other than 1) so no more squares can be taken out of the radical sqrt(10) and sqrt(10) can't be simplified further (though it could be factored)