Add ³√22+3√22+√22
The expression ³√22+3√22+√22 can be simplified by combining the terms with the same radical.
³√22 + 3√22 + √22
= 4√22 + √22
= (4 + 1)√22
= 5√22
So, ³√22+3√22+√22 simplifies to 5√22.
To add ³√22+3√22+√22, we can combine like terms. However, we cannot directly combine the terms with different radicals.
Let's break it down step by step:
Step 1: First, we notice that all three terms have the same radical, which is √22. We can combine these terms by adding their coefficients.
3√22 + √22 = (3 + 1)√22 = 4√22
Step 2: Now, we have the sum of 4√22 and ³√22. Since they have different radicals, we cannot combine them directly.
Therefore, the simplified sum of ³√22 + 3√22 + √22 is 4√22 + ³√22.
To simplify the expression ³√22 + 3√22 + √22, we need to combine like terms.
Step 1: Identify the like terms.
The three terms in the expression are all square roots of 22.
Step 2: Combine like terms.
To combine like terms, we can add the coefficients in front of the square roots. In this case, there are no numerical coefficients explicitly stated, so we can assume they are all 1.
So, the expression becomes:
(1 * ³√22) + (3 * √22) + (1 * √22)
Step 3: Simplify.
Since we have three square roots of 22, we can add their coefficients:
³√22 + √22 + √22 = 1(³√22 + 1√22 + 1√22) = 1(³√22 + 2√22)
Therefore, the simplified expression is:
³√22 + 2√22