Final answer:
To find the values of a and b in the equation 10 - √18 ÷ 2 = a + b√2, we need to simplify the equation step by step. The values of a and b are 7 and -1, respectively.
Step-by-step explanation:
To find the values of a and b in the equation 10 - √18 ÷ 2 = a + b√2, we need to simplify the equation step by step. First, we evaluate the square root of 18, which is approximately 4.2426. Then, we divide it by 2, resulting in 2.1213. Next, we subtract this value from 10, giving us 7.8787. Finally, we simplify the right side of the equation by separating the terms - a and b√2. Therefore, the values of a and b are 7 and -1, respectively.