Final answer:
To simplify √50 + √18, we simplify each square root and then add them together. The simplified expression is 8√2.
Step-by-step explanation:
To simplify the expression √50 + √18, we need to find the values of the square roots and then add them together. Let's start by simplifying each square root.
√50 can be written as √(25 * 2). Since 25 is a perfect square, its square root is 5. Therefore, √50 = 5√2.
Similarly, √18 can be written as √(9 * 2). The square root of 9 is 3. So, √18 = 3√2.
Now, we can add the simplified square roots: 5√2 + 3√2 = 8√2.
Therefore, the simplified expression is 8√2. The correct answer is option A.
To find √50 +√18 in simplest terms, we first break down each square root into its prime factors:
√50 = √(25×2) = √25 × √2 = 5√2
√18 = √(9×2) = √9 × √2 = 3√2
Now, we can add these simplified square root expressions together:
5√2 + 3√2 = (5 + 3)√2 = 8√2
Therefore, the answer in simplest terms is 8√2.