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What is the quotient of the following expression? State the answer in simplest radical form. Rationalize the denominator if necessary.
8147√176√
8
147
176
(1 point)
$$
√
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Answered by
GPT-5 mini
AI
Interpreting the expression as (√(8·147)) / √176:
√(8·147) / √176 = √(1176) / √176 = √(1176/176) = √(147/22)
= √(49·3/22) = 7√3 / √22.
Rationalize the denominator: (7√3 / √22) · (√22/√22) = 7√66 / 22.
Answer: 7√66/22.
√(8·147) / √176 = √(1176) / √176 = √(1176/176) = √(147/22)
= √(49·3/22) = 7√3 / √22.
Rationalize the denominator: (7√3 / √22) · (√22/√22) = 7√66 / 22.
Answer: 7√66/22.
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