Question

When multiplying radicals with different indexes do they add?

Answer 1

No, if the radicand is the same we add the reciprocals.

Explanation:

`root[a]x * root[b]x = x^{1/a} * x^{1/b} = x^{1/a + 1/b}`

`= x^frac{a+b}{ab} = root[ab]{x^{a+b}}`