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数学
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化简下列二次根式 其中a>1 b>0
⑴√4a²-8a+4/a²b³
⑵√a³/a³+2a²b+ab²
人气:100 ℃ 时间:2020-07-27 10:47:20
解答
⑴√[(4a²-8a+4)/(a²b³)]
=√[4(a²-2a+1)/(a²b³)]
=2√[(a-1)²/(a²b³)]
=2(a-1)·(√b)/(ab²)
.
⑵√[a³/(a³+2a²b+ab²)]
=√[a²/(a²+2ab+b²)]
=a·√[1/(a+b)²]
=a/(a+b)
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