Answer:
To evaluate the expression (32−5)^(1/3) * (32+5)^(1/3), follow these steps:
Step 1: Simplify the expressions within the parentheses.
(32−5)^(1/3) = 27^(1/3) = 3
(32+5)^(1/3) = 37^(1/3) = 3∛37
Step 2: Substitute the simplified expressions back into the original expression.
3 * 3∛37
Step 3: Multiply the two terms.
3 * 3∛37 = 9∛37
So, the final answer is 9∛37, not 3.
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Answer:
To evaluate the expression (32−5)^(1/3) * (32+5)^(1/3), follow these steps:
Step 1: Simplify the expressions within the parentheses.
(32−5)^(1/3) = 27^(1/3) = 3
(32+5)^(1/3) = 37^(1/3) = 3∛37
Step 2: Substitute the simplified expressions back into the original expression.
3 * 3∛37
Step 3: Multiply the two terms.
3 * 3∛37 = 9∛37
So, the final answer is 9∛37, not 3.