Add ∛22 + 3√22 + √22
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.
To add ∛22 + 3√22 + √22, we combine the like terms:
∛22 + 3√22 + √22
First, notice that we have two terms with a square root of 22. We can simplify this as follows:
√22 + 3√22 = 4√22
Now, we have:
∛22 + 4√22
Since the cube root (∛) is not like terms with the square root (√), we can't simplify this further. Therefore, the final answer is:
∛22 + 4√22
To simplify the expression ∛22 + 3√22 + √22, you can combine the like terms.
Step 1: Notice that all three terms have a common factor of √22.
Step 2: Rewrite the expression:
√22(∛1 + 3 + 1)
√22(1 + 3 + 1)
Step 3: Simplify inside the parentheses:
√22(5)
Step 4: Multiply the common factor (√22) by 5:
5√22
Therefore, the simplified expression is 5√22.