Answer:
9 square root of 2 + 6 square root of 2 - 2 square root of 6.
Step-by-step explanation:
Because the square root of 18 can be factored by 9 and 9 can be squared, you multiply 3 by 3 to get 9. This is because the square root of 9 is equal to 3. Then because you took away nine from the square root, you have to divide 18 by 9 to get 2. This means, it will become 9 square root of 2. Next, because the square root of 8 can be factored by 4 and 4 can be squared, you have to do 2x3 to get 6. This is because the square root of 4 is 2. Because you took away the square root of 4 from the square root of 8, you have to divide 8 by 4 to get 2. This means it will become 6 square root of 2. Next, because 24 can be factored by 4 and 4 can be squared, you have to do 4x1 because 1 is multiplied by square root of 24. Then, because you took away square root of 4 from 24, you have to divide 24 by 4 to get 6. Therefore, the simplest radical form is 9 square root of 2 + 6 square root of 2 - 2 square root of 6.
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