Add root(22, 3) + 3sqrt(22) + sqrt(22) (1 point)
O 5sqrt(66)
O root(22, 3) + 4sqrt(44)
O 5sqrt(22)
root(22, 3) + 4sqrt(22)
The correct answer is O root(22, 3) + 4sqrt(22)
To simplify the expression, let's break it down step-by-step.
Step 1: Simplify root(22, 3) by rewriting it as (22^(1/3)).
Step 2: Simplify 3sqrt(22) by multiplying the number inside the square root by 3. This gives us 3 * sqrt(22) = 3sqrt(22).
Step 3: Simplify sqrt(22) by simply leaving it as sqrt(22).
Putting it all together, the expression becomes (22^(1/3)) + 3sqrt(22) + sqrt(22).
Therefore, the simplified expression is root(22, 3) + 4sqrt(22).
To simplify the expression root(22, 3) + 3sqrt(22) + sqrt(22), we can combine like terms.
First, let's simplify root(22, 3). This means finding the cube root of 22. The cube root of a number x can be found by raising x to the power of 1/3. So, root(22, 3) is equivalent to 22^(1/3).
Next, let's combine the terms with sqrt(22). We have 3sqrt(22) + sqrt(22), which equals 4sqrt(22) because both terms have the same radicand (22) and we can simply add the coefficients.
The simplified expression becomes root(22, 3) + 4sqrt(22). Therefore, the correct answer is option (O) root(22, 3) + 4sqrt(22).