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Add: (sqrt3+2sqrt2) and (2sqrt3-5sqrt2)...

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`(sqrt3+2sqrt2)` and `(2sqrt3-5sqrt2)`

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Add: (3sqrt3-sqrt2+sqrt5) and (2sqrt2+5sqrt3-7sqrt5)

If x= (sqrt3+sqrt2)/(sqrt3-sqrt2) and y=(sqrt3-sqrt2)/(sqrt3+sqrt2) , then find the value of x^2+y^2

Add 2sqrt2+ 5sqrt3 and sqrt2- 3sqrt 3 .

Find (a+b)^4-(a-b)^4 . Hence evaluate : (sqrt3 +sqrt2)^4 -(sqrt3 -sqrt2)^4 .

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Rationalise: (5sqrt3-4sqrt2)/(4sqrt3+3sqrt2)

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Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the sraight line 2x-y=1. The points of contact of the tangents on the hyperbola are (A) (9/(2sqrt2),1/sqrt2) (B) (-9/(2sqrt2),-1/sqrt2) (C) (3sqrt3,-2sqrt2) (D) (-3sqrt3,2sqrt2)