Add 28–√+38–√ .(1 point)
To add the given expression, we can combine like terms:
28 – √ + 38 – √
The radical term -√ does not have any numerical value provided, so we cannot directly add it with other terms. Thus, the given expression cannot be simplified further as it is incomplete and incompatible for addition without exact values for the radicals.
To add the expression 28–√ + 38–√, we need to simplify each square root term first.
Let's start with the square root of 28: √28.
To simplify this, we can find the largest perfect square that is a factor of 28, which is 4. So, we can rewrite √28 as √(4*7).
Then, using the property of square roots, we can split it as the square root of 4 multiplied by the square root of 7: √4 * √7, which is 2√7.
So, 28–√ simplifies to 2√7.
Now let's simplify the square root of 38: √38.
Following the same process as before, we find that the largest perfect square that is a factor of 38 is 4. So √38 becomes √(4*9.5).
Splitting this square root, we get √4 * √9.5, which is 2√9.5.
Therefore, 38–√ simplifies to 2√9.5.
Now we can combine the simplified terms: 2√7 + 2√9.5.
Since we cannot simplify these square root terms further, we can't directly add them together. So the final answer is 2√7 + 2√9.5.
To add the expression 28–√ + 38–√, we first need to simplify each square root individually.
Let's simplify the first square root, √28. We can factor 28 to find its perfect square factors:
28 = 4 * 7
Since 4 is a perfect square (2 * 2 = 4), we can take its square root as 2. The square root of 7 remains as √7.
So, √28 = 2√7.
Now, let's simplify the second square root, √38. We can factor 38 to find its perfect square factors:
38 = 2 * 19
Since both 2 and 19 are prime numbers, we can't simplify it any further.
Now we can add the two simplified square roots:
2√7 + √38
Since we cannot combine any like terms here (there are no other square roots involved), this is our final answer: 2√7 + √38.