(3+sqrt(2))^(5)-(3-sqrt(2))^(5)

Evaluate the following: (3+sqrt(2)x)^(5)-(3-sqrt(2))^(5)

Simplify the following expressions: (4+sqrt(7))(3+sqrt(2))( ii) (3+sqrt(3))(5-sqrt(2))(sqrt(5)-2)(sqrt(3)-sqrt(5))(sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

Simplify the following expressions: (i) (4+sqrt(7))(3+sqrt(2)) (ii) (3+sqrt(3))(5-sqrt(2)) (iii) (sqrt(5)-2)(sqrt(3)-sqrt(5)) (iv) (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

What is the number of terms in the expansion of (3 + 2 sqrt(5) )^(18) - (3-2 sqrt(5) )^(18)

Simplify (i) (3-sqrt(11))(3+sqrt(11)) (ii) (-3+ sqrt(5))(-3-sqrt(3)-sqrt(5)) (iii) (3- sqrt(3))^(2) (iv) (sqrt(5) - sqrt(3))^(2) (v) (5+ sqrt(7))(2+ sqrt(5)) (vi) (sqrt(5) - sqrt(2))(sqrt(2) - sqrt(3))

The value of the integral int_0^2("log"(x^2+2))/((x+2)^2)dx is (sqrt(2))/3tan^(-1)(sqrt(2))+5/(12)log2-1/4log3 b. (sqrt(2))/3tan^(-1)(sqrt(2))-5/(12)log2-1/4log3 c. (sqrt(2))/3tan^(-1)(sqrt(2))+5/(12)log2+1/4log3 d. (sqrt(2))/3tan^(-1)(sqrt(2))-5/(12)log2+1/(12)log3

The value of the integral int_0^2("log"(x^2+2))/((x+2)^2)dx is (sqrt(2))/3tan^(-1)(sqrt(2))+5/(12)log2-1/4log3 b. (sqrt(2))/3tan^(-1)(sqrt(2))-5/(12)log2-1/4log3 c. (sqrt(2))/3tan^(-1)(sqrt(2))+5/(12)log2+1/4log3 d. (sqrt(2))/3tan^(-1)(sqrt(2))-5/(12)log2+1/(12)log3

Rationalize the denominator of (2sqrt(5)+3sqrt(2))/(2sqrt(5)-3sqrt(2))

Rationalize the denominatiors of : (2sqrt(5)+3sqrt(2))/(2sqrt(5)-3sqrt(2))