Asked by LOL
What is the quotient of the following expression? State the answer in simplest radical form. Rationalize the denominator if necessary.
8√147
176√
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the expression is (8√147) / (176√7):
8√147 = 8√(49·3) = 8·7√3 = 56√3, so
(56√3) / (176√7) = (56/176)·√(3/7) = (7/22)·√(3/7).
Rationalize √(3/7): √(3/7) = √21/7, so
(7/22)·(√21/7) = √21/22.
Answer: √21/22.
8√147 = 8√(49·3) = 8·7√3 = 56√3, so
(56√3) / (176√7) = (56/176)·√(3/7) = (7/22)·√(3/7).
Rationalize √(3/7): √(3/7) = √21/7, so
(7/22)·(√21/7) = √21/22.
Answer: √21/22.
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