Latest SSC Aptitude Question SOLUTION: the square root of (3^.5 + 2^.5)/(3^.5 - 2^.5)

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(#M40009579) SSC Numerical Ability question Keep an EYE

the square root of (3^.5 + 2^.5)/(3^.5 - 2^.5)

Asked In SSC Uday Pratap Singh (12 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Vignesh  (12 years ago)

Sorry.
Ans is
3.146264370646561

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3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5) + (2^.5) = 3.14626437

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3^.5 = 1.73205081
2^.5 = 1.41421356
(3^.5)-(2^.5) = 0.317837245

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3.14626437/0.317837245 = 9.89897949

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Square root of 9.89897949 = 3.146264370646561

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HIMANSHU GUPTA  (12 years ago)

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.)

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Vignesh  (12 years ago)

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

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(3^.5)+((2^.5) / (3^.5)) - (2^.5) = 1.13433383

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Square root of 1.13433383 = 1.0650510926711452

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sairamakrishnathotakura  (12 years ago)

3^.5 + 2^.5

Is this solution Helpfull? Yes | No (2)  

renu  (9 years ago)

by compededo dividendo rule
a+b/a-b=a/b
then root3/root2
1.732/1.414
1.224

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