[" Find the value of the following: "],[qquad 6.(3+2sqrt(2))(3-2sqrt(2))]

Find the value of a in the following: 6/(3sqrt2-2sqrt3)=3sqrt2-asqrt3

Evaluate the following: \ (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6

Evaluate the following: (sqrt(3)+sqrt(2))^(6)-(sqrt(3)-sqrt(2))^(6)

Find the values of the following : ( sqrt3/2 + i/2)^(5) - ( sqrt3/2 - i/2)^(5)

If both a and b are rational number, find the values of a and b in the following (sqrt2+sqrt3)/(3sqrt2-2sqrt3)=a-bsqrt6

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations . i) (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))=a+bsqrt(6) ii) (sqrt(5)+sqrt(3))/(2sqrt(5)-3sqrt(3))=a-bsqrt(15)

Find the values of the following determinants: [[sqrt2,-2sqrt3],[3sqrt2,sqrt3]]

If both a and b are rational numbers,find the values of a and b in each of the following equalities: (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=a-b sqrt(6)

Find the value of a and b in each of the following :(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6