Add 28–√ + 28−−√ + 28–√.(1 point) Responses 48–√ + 28−−√ 4 Start Root 8 End Root plus Start Root 28 End Root 416−−√ + 28−−√ 4 Start Root 16 End Root plus Start Root 28 End Root 544−−√ 5 Start Root 44 End Root 58–√
The simplified expression is:
48−√ + 28−√ + 4√8 + 28−√ + 4√16 + 28−√ + 5√44 + 58−√
To add the expressions 28–√, 28−−√, and 28–√, follow these steps:
Step 1: Simplify 28–√.
Start Root 28 End Root equals 52–√.
Step 2: Simplify 28−−√.
Start Root 28 End Root equals 52–√.
Step 3: Simplify 28–√.
Start Root 28 End Root equals 52–√.
Step 4: Add the simplified expressions together.
52–√ + 52–√ + 52–√ equals 156–√.
So, the final answer is 156–√.
To add 28–√ + 28−−√ + 28–√, we need to simplify each term separately and then add them together.
Let's start with the first term, 28–√. To simplify this, we need to find the square root of 28:
√28 = √(4 * 7) = √4 * √7 = 2√7
Now let's move on to the second term, 28−−√. To simplify this, we need to find the square root of 28 again:
−−√28 = −√(4 * 7) = −√4 * √7 = −2√7
Finally, let's look at the third term, 28–√. Just like before, we need to find the square root of 28:
√28 = √(4 * 7) = √4 * √7 = 2√7
Now we can add all three terms together:
2√7 + (-2√7) + 2√7 = 0
Therefore, the sum of 28–√ + 28−−√ + 28–√ is 0.
It's worth noting that the "-−" symbol is not a standard mathematical notation for indicating square root. Typically, a single "−" symbol or the "√" symbol is used to represent square root.