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If x=(antilog2 3 antilog2 4),y=atilog6 ...

If `x=(antilog_2 3 antilog_2 4),y=atilog_6 2` and `x/y=p/q` in lowest form (where `p,q in N`),then (p+q) is less than or equal to -

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P ox Q means P is greater than Q. P underline(©) Q means P is either greater than or equal to Q. P = Q means P is equal to Q. P @ Q means P is smaller than Q. P underlinecancel("@") Q means P is either smaller than or equal to Q. Statements: Y ox N, T @ N, A = Y, J underline(©) A Conclusions: I. J = Y II. Y @ T

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Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression x-y+2x^2y+2xy^2-x^4y+xy^4 can be expressed in the form sqrtp+sqrtq where p. q in N, then find the value of (p+q).

P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] ** [(q ** p) @ (q © p)] is :