If X 2 radic 15 radic 3 radic 5 then what is the value of X 15 X 15 X radic 3 X radic 3 ........

Quantitative Aptitude (CGL) Algebra

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If X=2√15/(√3+√5) then what is the value of (X+15)/(X-15) + (X+√3)/(X-√3)?

√5

√3

√15

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Explanation:

X+√3/x-√3 + x+√5/x-√5
substitute the value of "x
=> 2√15/(√5+√3)
(2√15/(√3+√5) + √5)/(2√15/(√3+√5) - √5) + (2√15/(√3+√5) + √3)/2√15/(√3+√5) - √3)
(2√15+√5(√3+√5))/2√15-√5(√3+√5) + (2√15 + √3(√3+√5))/(2√15-√3(√3+√5))
(5+3√15)/(√15-5) - (3√15+3)/√15-3)
((5+3√15)(√15-3)-(3√15+3)(√15-5))/(√15-5)(√15-3)=2