Arrange the following in the descreasing...

Arrange the following in the descreasing order ?
`(sqrt(23)-sqrt(21))`, `(sqrt(19)-sqrt(17))`, `(sqrt(21)-sqrt(19))`

A

`(sqrt(23)-sqrt(21))gt(sqrt(21)-sqrt(19))gt(sqrt(19)-sqrt(17))`

B

`(sqrt(23)-sqrt(21))gt(sqrt(19)-sqrt(17))gt(sqrt(21)-sqrt(19))`

C

`(sqrt(19)-sqrt(17))gt(sqrt(23)-sqrt(21))gt(sqrt(23)-sqrt(21))`

D

`(sqrt(21)-sqrt(19))gt(sqrt(23)-sqrt(21))gt(sqrt(19)-sqrt(17))`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Arrange the following in decending order sqrt(3) - sqrt(2), sqrt(4) - sqrt(3), sqrt(5) - sqrt(4), sqrt(2) - 1 .

Arrange the following in descending order : ""^3sqrt(4), sqrt(2),""^6 sqrt(3), ""^4sqrt(5)

Arrange the following in descending order sqrt3 - sqrt2, sqrt4 - sqrt3 , sqrt5 - sqrt4 , sqrt2 - 1.

Which of the following surd is the smallest ? sqrt(10)-sqrt(5),sqrt(19)-sqrt(14),sqrt(22)-sqrt(17) and sqrt(8)-sqrt(3)

If sqrt(19-4sqrt(x))=sqrt(12)-sqrt(7), then x=..

if sqrt(10+-2sqrt(21))=sqrt(a)+-sqrt(3) then a=

(3)/(sqrt(19-2sqrt(88)))-(8)/(sqrt(14+2sqrt(33)))=

If a=sqrt(17)-sqrt(16) and b=sqrt(16)-sqrt(15) then

Which is the greatest among (sqrt(19)-sqrt(17)),(sqrt(13)-sqrt(11)),(sqrt(7)-sqrt(5)) and (sqrt(5)-sqrt(3))?