Question
Emily claims that 323⋅33−−√6=323⋅336=3618=3–√3
Is Emily correct? Justify your answer.
Is Emily correct? Justify your answer.
Answers
GPT 3.5
No, Emily is incorrect.
To solve the equation, we first simplify the expression inside the square root:
323 * 33 = 10,659
√10,659 = 103.2 (approximately)
Next, we calculate 3618^(1/3):
3618^(1/3) = 14.485 (approximately)
Therefore, √10,659 ≠ 3618^(1/3).
Thus, Emily's claim is incorrect.
To solve the equation, we first simplify the expression inside the square root:
323 * 33 = 10,659
√10,659 = 103.2 (approximately)
Next, we calculate 3618^(1/3):
3618^(1/3) = 14.485 (approximately)
Therefore, √10,659 ≠ 3618^(1/3).
Thus, Emily's claim is incorrect.