3^√22 + 3√22 + √22 .(1 point)
The given expression is 3^(√22) + 3√22 + √22.
Let's simplify this expression step by step.
First, we can note that 3^(√22) and 3√22 have the same value since 3^(√22) is the same as (3√22)^1. Therefore, these two terms can be combined as follows:
3^(√22) + 3√22 = (3√22)^1 + 3√22 = 3√22 + 3√22 = 6√22.
Now, our expression becomes:
6√22 + √22.
These two terms have the same radical term, so we can add them together:
6√22 + √22 = 7√22.
Therefore, the simplified expression is 7√22.
To simplify the expression 3^√22 + 3√22 + √22, we can combine like terms.
First, let's simplify the term 3^√22. Since 3 is a number and ^√22 indicates the square root of 22, we can rewrite 3^√22 as 3√22.
Now we have:
3√22 + 3√22 + √22
Combining the like terms, we get:
6√22 + √22
Finally, we can simplify this further by adding the coefficients:
6√22 + 1√22
This gives us the final simplified expression:
7√22
To simplify the expression 3^√22 + 3√22 + √22, we can combine the like terms. The terms 3^√22, 3√22, and √22 all involve the square root of 22, so we can add them together.
First, let's simplify 3^√22. To do this, we need to rewrite it as an exponent. We can rewrite 3^√22 as 22^(1/3).
Now, let's simplify 22^(1/3). This means we need to find the cube root of 22. The cube root of a number x is the number y such that y^3 = x. So, we need to find a number y such that y^3 = 22.
By trial and error, we can see that the cube root of 22 is approximately 2.8. So, 22^(1/3) is approximately 2.8.
Now we can simplify the expression 3^√22 + 3√22 + √22. Plugging in the values we found, we get:
2.8 + 3√22 + √22
Now, we combine the like terms. Both 3√22 and √22 involve the square root of 22, so we add them together:
2.8 + (3 + 1)√22
Simplifying further:
2.8 + 4√22
So, the simplified expression is 2.8 + 4√22.