" (iv) "(sqrt(6)+i5)(sqrt(6)-i(1)/(5))

Find the following as a single complex number x+ iy (sqrt(6)+i5)(sqrt(6)-i(1)/(5))

Find the following as a single complex number x+iy(sqrt(6)+i5)(sqrt(6)-i(1)/(5))

Write the additive inverse of (sqrt(6)+5i)(sqrt(6)-(1)/(5)i) .

Simplify each of the following by rationalising the denominator: (i) 1/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6))

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

(sqrt(3)+i)^(6)+(sqrt(3)-i)^(6)=

[(sqrt(5)+i/2)(sqrt(5)-i2)]-:(6+i5)

Find the additive inverse of the complex number: (i) -5+7i (ii) (sqrt(6)+5i)(sqrt(6)+5i)

Distance between line r=i+j+k+lambda(2i+j+4k) and plane rdot(i+2j-k)=3 is (1) 4/(sqrt(6)) (2) 5/(sqrt(6)) (3) 1/(sqrt(6)) (4) 0 (5) 2/(sqrt(6))