Add ∛22 + 3√22 + √22

Answer 1

To simplify the expression, we can combine like terms, specifically terms with the same radical.

∛22 + 3√22 + √22 = (∛22 + √22) + 3√22

To combine the terms (∛22 + √22), we can rewrite them as one radical with the same index.

Let's rewrite ∛22 as (∛22)(∛22) = (∛22)^2 = ∛(22*22) = ∛484 = 4

Now we have (4 + √22) + 3√22

Combining like terms:

4 + 4√22 + 3√22

Simplifying:

4 + 7√22

Therefore, ∛22 + 3√22 + √22 simplifies to 4 + 7√22.