根号6减根号5和2减根号3比较大小?

2025-03-16 06:35:32
推荐回答(5个)
回答1:

肯定是根号6减根号5 小于 2减根号3。
因为从y=根号x的图像上看,x的值越大,曲线越平缓。6和5相距1,4和3也相距1,所以,根号6减根号5,会小于根号4减根号3

回答2:

根号六减根号五与根号四减根号三,由根号x的图像可知,越往后差距越小,因此后者更大一点。

回答3:

这个数字越大,显然需要的平方根的增量就会越小,显然前边的更小一点

回答4:

分子有理化则可
√6-√5=1/(√6+√5)
2-√3=1/(2+√3)
前者的分母大于后者的分母,因此2-√3较大

回答5:

(√6+√3)^2
=6+2√18+3
=9+6√2
=9+√72
(√5+2)^2
=5+4√5+4
=9+4√5
=9+√80
∵ √80>√72
∴ √6+√3<√5+2
∴ √6-√5<2-√3

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