`3sqrt(21952)+33=?`

Is the sequence 3,3 + sqrt(2), 3+ 2sqrt(2) , 3+ 3sqrt(2) , .... an A.P. ? Justify.

3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2).......... , forms an AP then find the n^(th) term.

If 3,3+sqrt(2),3+2sqrt(2),3+3sqrt(2),........ forms an AP then find the common difference

If m_1 and m_2 are the roots of the equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0, then the area of the Delta formed by lines y=m_1x, y=m_2x, y=c is: a.((sqrt(33)+sqrt(11))/4)c^2 b.((sqrt(32)+sqrt(11))/16)c c.((sqrt(33)+sqrt(10))/4)c^2 d.((sqrt(33)+sqrt(21))/4)c^3

If m_1 and m_2 are the roots of the equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0, then the area of the Delta formed by lines y=m_1x, y=m_2x, y=c is: a.((sqrt(33)+sqrt(11))/4)c^2 b.((sqrt(32)+sqrt(11))/16)c c.((sqrt(33)+sqrt(10))/4)c^2 d.((sqrt(33)+sqrt(21))/4)c^3

Write of the following are A.P.s ? If they form an A.P., find the common difference and write three more terms . 3,3+sqrt(2),3+sqrt(2),3+3sqrt(2)

sqrt(x^(2)+12y)+sqrt(y^(2)+12x)=33,x+y=33 solve for x and y.