Toán Lớp 9: so sánh 5/2 căn1/6 va 6 căn1/37
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Toán Lớp 9: so sánh 5/2 căn1/6 va 6 căn1/37
Comments ( 2 )
5/2 sqrt{1/6} = 5/2 * sqrt1/sqrt6 = 5/2 * 1/sqrt6 = 5/(2sqrt6) =5/sqrt24
6 sqrt{1/37} = 6*sqrt1/sqrt37 = 6/sqrt37
Ta lại có :
+ 24 < 25
=>sqrt24 < sqrt25
=>sqrt24 < 5
=>5/sqrt24 > 5/5
=>5/sqrt24 > 1 (2)
+ 37 >sqrt36
=>sqrt37 > sqrt36
=>sqrt37 > 6
=>6/sqrt37 < 6/6
=>6/sqrt37 < 1 (2)
Từ (1) và (2) =>5/2 sqrt{1/6} > 6sqrt{1/37}