SSC
Government Jobs Exams
Numerical Ability
Arithmetic
the square root of (3^.5 + 2^.5)/(3^.5 - 2^.5)
Read Solution (Total 5)
-
- Sorry.
Ans is
3.146264370646561
@@
3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5) + (2^.5) = 3.14626437
@@
3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5)-(2^.5) = 0.317837245
@@
3.14626437/0.317837245 = 9.89897949
@@
Square root of 9.89897949 = 3.146264370646561 - 12 years agoHelpfull: Yes(3) No(0)
- Let y be the reqd. root.
clearly
y ^2 = (sqroot(3)+sqroot(2))/(sqroot(3)-sqroot(2))
Rationalising the denominator,
y ^2= [(sqroot(3)+sqroot(2))]^2 / [(sqroot(3)-sqroot(2))(sqroot(3)+sqroot(2))]
Or y ^2= (sqroot(3)+sqroot(2))^2
or y= positive root of ((sqroot(3)+sqroot(2))^2)
or y= (sqroot(3)+sqroot(2))
or y= 1.732+1.414
or y= 3.146(approx.) - 12 years agoHelpfull: Yes(3) No(0)
- Ans is 1.0650510926711452
@@
3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5) + (2^.5) = 3.14626437
@@
3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5)-(2^.5) = 0.317837245
@@
(3^.5)+((2^.5) / (3^.5)) - (2^.5) = 1.13433383
@@
Square root of 1.13433383 = 1.0650510926711452 - 12 years agoHelpfull: Yes(2) No(0)
- 3^.5 + 2^.5
- 12 years agoHelpfull: Yes(0) No(2)
- by compededo dividendo rule
a+b/a-b=a/b
then root3/root2
1.732/1.414
1.224 - 9 years agoHelpfull: Yes(0) No(0)
SSC Other Question