Add root(22, 3) + 3sqrt(22) + sqrt(22) (1 point)
root(22, 3) + 4sqrt(44)
O root(22, 2) + 4sqrt(22)
О 5sqrt(22)
O 5sqrt(66)
To simplify the expression, let's calculate each term separately:
First term: root(22, 3) = the cube root of 22.
Second term: 3sqrt(22) = 3 multiplied by the square root of 22.
Third term: sqrt(22) = the square root of 22.
Now let's combine the terms:
root(22, 3) + 3sqrt(22) + sqrt(22) = the cube root of 22 + 3 times the square root of 22 + the square root of 22.
We can see that the terms 3sqrt(22) and sqrt(22) are both multiplying the square root of 22, so we can add them together to make 4sqrt(22):
root(22, 3) + 3sqrt(22) + sqrt(22) = the cube root of 22 + 4 times the square root of 22.
Therefore, the simplified expression is root(22, 3) + 3sqrt(22) + sqrt(22) = root(22, 3) + 4sqrt(22).
To simplify the expression, let's break it down step-by-step:
We are given the expression: root(22, 3) + 3sqrt(22) + sqrt(22)
Step 1: Simplify root(22, 3)
To find the cube root of 22, we need to find a number that, when multiplied by itself three times, gives us 22. Since there are no perfect cubes that divide evenly into 22, we cannot simplify this any further. So we keep it as root(22, 3).
Step 2: Simplify 3sqrt(22)
To simplify 3sqrt(22), we multiply the coefficient (3) with the number inside the square root (22). Multiplying 3 and 22 gives us 66. Therefore, we can write this as 3 * sqrt(22) = 3sqrt(22).
Step 3: Simplify sqrt(22)
Since there are no perfect square factors of 22, we cannot simplify this any further. So we keep it as sqrt(22).
Now, let's put it all together:
root(22, 3) + 3sqrt(22) + sqrt(22) = root(22, 3) + 3sqrt(22) + sqrt(22).
So the final answer is:
root(22, 3) + 3sqrt(22) + sqrt(22)
To simplify the expression, let's break it down and combine like terms.
The expression is: root(22, 3) + 3sqrt(22) + sqrt(22)
First, let's simplify the term root(22, 3). This means we are taking the cube root of 22.
To find the cube root of 22, you can use a calculator or approximation. In this case, the cube root of 22 is not a whole number, so we will leave it as root(22, 3).
Next, we have 3sqrt(22). This means we are multiplying 3 by the square root of 22.
Now, we have another term, sqrt(22), which is simply the square root of 22.
To combine like terms, we need to simplify root(22, 3) + 3sqrt(22) + sqrt(22).
So, the simplified expression is: root(22, 3) + 3sqrt(22) + sqrt(22) = root(22, 3) + 4sqrt(22).
Therefore, the correct answer is: root(22, 3) + 4sqrt(22) (option B).