Emily claims that 323⋅33−−√6=323⋅336=3618=3–√3
Is Emily correct? Justify your answer.
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.