Als
0 < a < b
dan geldt
A.  \(\boldsymbol{a < b^2 }\)
B.  \(\boldsymbol{a < a^2 }\)
C.  \(\boldsymbol{\sqrt a < a }\)
D.  \(\boldsymbol{\frac 1a > b }\)
E.  \(\boldsymbol{\sqrt a < \sqrt b }\)
A    B    C    D    E

[ 4-8469 - op net sinds 21.10.2019-(E)-3.11.2024 ]

Translation in   E N G L I S H

If
0 < a < b
then
A.   \(\boldsymbol{a < b^2 }\)
B.   \(\boldsymbol{a < a^2 }\)
C.   \(\boldsymbol{\sqrt a < a }\)
D.   \(\boldsymbol{\frac 1a > b }\)
E.   \(\boldsymbol{\sqrt a < \sqrt b }\)

Oplossing - Solution

Als   0 < a < b,  dan geldt :
a < b²   nee want   0,5 < 0,6² is onjuist
a < a²   nee want   0,5 < 0,5² is onjuist
√a > a   nee want   √0,25 < 0,25 is onjuist
1opa > b   nee want   1/2 > 5 is onjuist
√a < √b   is dus correct.
gricha