[e-4=" frove that "sqrt(a)+" if intational where "P,8" at "],[" efine."]

Prove that sqrt(p) + sqrt(q) is irrational, where p and q are primes.

Prove that sqrt(p)+sqrt(q) is an irrational,where p and q are primes.

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

Which of the following statements are always correct (where Q denotes the set of rationals)? cos2theta in Qa n dsin2theta in Q tantheta in Q (ifd efin e d) tantheta in Q sin2theta,cos2thetaa n dtan2theta in Q(ifd efin e d) ifs intheta in Qa n dcostheta in Qtan3theta in Q(ifd efin e d) fi sin theta in Q cos3theta in Q

Is it possible to have a situation where mechnial energy (E ) - potential energy (E_p) is negative, i.e., (E - E_p) lt 0 ?

Let Two non-collinear vectors vec a and vec b inclined at angle of [2pi]/3 be such that |vec a|=3 and |vec b|=4.A point P moves so that at any time t the position vector vec [OP] (where O is the origin) is given as vec [OP]=(e^t+e^-t)vec a +(e^t-e^-t)vec b.If the least distance of P from the origin is sqrt2sqrt[sqrtp-q] where p,q in N,then find the value of p+q.

If the co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an