Carcass wrote:
If x > o and the quantities
√x and
√xx are reciprocals, which of the following
could be true?
Indicate
all choices that apply.
❑
√x is greater than
√xx❑
√x is less than
√xx❑
√x is greater than
xGiven x>0 but it has not mentioned x is integer or fraction
Let consider x = 4
now
√4 and
√44or 2 >
12 - This staisfy 1st equation and also they are reciprocal.
Now let conside x =
14Therefore
√x and
√xx √14 and
√1414=
12 and
12∗4= 1/2 and 2
i.e
12< 2 so this satisfy the second equation i.e
√x is less than
√xx Now if we consider again x= 1/4
Then
√x and
x =
√14 and
14 =
12 >
14 - This satidfy our third equation.
Hence A,B,C are all correct