The expression you’re referring to involves finding the square roots of 50 and 18 and then summing these values. Let’s break it down step by step.
First, we need to calculate the square roots:
- The square root of 50 can be simplified. Since 50 is the product of 25 and 2, we can express it as follows:
- √50 = √ (25 × 2) = √25 × √2 = 5√2
- The square root of 18 can also be simplified. Here, 18 can be expressed as the product of 9 and 2:
- √18 = √(9 × 2) = √9 × √2 = 3√2
Now, we can sum the square roots:
Sum = √50 + √18 = 5√2 + 3√2
Combining like terms, we get:
Sum = (5 + 3)√2 = 8√2
In summary, the sum of the square roots of 50 and 18 is:
8√2
This result highlights a couple of properties:
- Both square roots can be simplified into a term involving √2, making the resulting sum much more concise.
- The sum emphasizes the importance of recognizing and simplifying square roots in mathematical expressions, allowing for easier calculations and clearer interpretations.
Remember, whenever you’re dealing with square roots, look for ways to simplify terms, as it often leads to cleaner solutions!