`sqrt(11+2sqrt18+2sqrt12+2sqrt6`

Simplify (sqrt(11)+sqrt(8))(sqrt(11)-2sqrt(2))

Prove that (sqrt 2,sqrt 2),(-sqrt 2,-sqrt 2) and (-sqrt 6,sqrt 6) are the vertices of an equilateral triangle.

The expression sqrt(6+2sqrt3+2sqrt2+2sqrt6)-sqrt(3-2sqrt2) simplifies to :-

The value of the determinant |{:(sqrt(6),2i,3+sqrt(6)i),(sqrt(12),sqrt(3)+sqrt(8)i,3sqrt(2)+sqrt(6)i),(sqrt(18),sqrt(2)+sqrt(12)i,sqrt(27)+2i):}| is (where i= sqrt(-1)

The value of the determinant |{:(sqrt(6),2i,3+sqrt(6)i),(sqrt(12),sqrt(3)+sqrt(8)i,3sqrt(2)+sqrt(6)i),(sqrt(18),sqrt(2)+sqrt(12)i,sqrt(27)+2i):}| is (where i= sqrt(-1)

The value of the determinant |{:(sqrt(6),2i,3+sqrt(6)i),(sqrt(12),sqrt(3)+sqrt(8)i,3sqrt(2)+sqrt(6)i),(sqrt(18),sqrt(2)+sqrt(12)i,sqrt(27)+2i):}| is (where i= sqrt(-1)

{:("Quantity A","Quantity B"),((sqrt6xxsqrt(18))/(sqrt9),(sqrt8xxsqrt(12))/(sqrt6)):}

If x=sqrt(11)-sqrt(10),y=sqrt(12)-sqrt(11), then

If (sqrt(5 + 2sqrt6)- sqrt(5 - 2 sqrt6))/(sqrt(5 + 2 sqrt6)+ sqrt(5 - 2 sqrt6)) = sqrt((x)/(16)) , then x = _____

(sqrt72 - sqrt18) / sqrt12 is equal to :