怎么分解这两个完全平方啊？

starfishchan · 发表于 2012-3-30 09:09:53

分解 N+2N^(1/2) 和 N+2^(1/2)+1

机经上的104题
就是比较分解这些完全平方选项后值的大小吧？
第一百零四题
N is perfect square, means N=m2, which following number is least biggest perfect square of N
a) N2 b) N+2N^(1/2) c) N+2^(1/2)+1 d)..

答案选c

lighty014 · 发表于 2012-3-30 10:04:40

least biggest perfect square is (m-1)^2
since N=m^2, m=N^0.5
so (m-1)^2=N-2N^0.5+1 which is C

starfishchan · 发表于 2012-3-30 13:41:13

why is (m-1)^2 the least biggest perfect square?

泾渭不凡 · 发表于 2012-3-30 13:50:15

Freja的JJ题目信息给全了么，没有关于m的绝对值取值范围的信息么？

liuliu200507 · 发表于 2012-3-30 14:08:22

which following number is least biggest perfect square of N
这句话怎么理解啊

starfishchan · 发表于 2012-3-30 14:13:03

嘻泾渭也喜欢freja吗？我看的鸡精就是这样的。 least biggist 是什么意思啊？考虑m值正负，没这么复杂吧？……

lighty014 · 发表于 2012-3-30 14:26:23

it doesn't matter m is greater than 0 or less than 0...
u can suppose that m>0 and it works for m<0 too...
from my perspective least biggest perfect square means the biggest perfect square less than N

starfishchan · 发表于 2012-3-30 14:33:04

解释在理哦不过c) N+2^(1/2)+1 和（N^0.5-1）^2的值差一个符号和字符诶大概是狗主打漏了吧？

lighty014 · 发表于 2012-3-30 14:37:08

...my mistake..
then least biggest perfect square should be the least perfect square greater than N....
it says in a really weird way...
im not 100% sure...

lighty014 · 发表于 2012-3-30 14:38:32

then (m+1)^2=N+2N^0.5+1

怎么分解这两个完全平方啊？

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