(sqrt(5)-7i)(sqrt(5)-7i)^(2)+(-2+7i)^(2)

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (sqrt5-7i) (sqrt5-7i)^(2) + (-2+ 7i)^(2)

Perform the following by the indicated operations. Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : Simply: (i) (sqrt(5)+7i)(sqrt(5)-7i)^(3) (ii) (1+i)(2+3i)(3+4i)(4+5i) (iii) (1+i^(2))+i^(4)+i^(6) .

Perform the indicated operation and give your answer in the form x + iy, where x and y are real numbers and i = sqrt (-1) . (sqrt5-7i)(sqrt5-7i)^2+(-2+7i)^2 .

(sqrt3+i)^(7)+(sqrt3-i)^(7)

Classify the following numbers as rational or irrational . i) 5-sqrt(3) ii) sqrt(3)+sqrt(2) iii) (sqrt(2)-2)^(2) iv) (2sqrt(7))/(7sqrt(7))

Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : (i) (-5+3i)(8-7i) (ii) (-sqrt(3)+sqrt(-2))(2sqrt(3)-i) (iii) (sqrt(2)-sqrt(3)i)^(2)

State, whether the following numbers are rational or not : (i) (2+sqrt(2))^(2)" (ii) "(5+sqrt(5))(5-sqrt(5)) (iii) (sqrt(7)/(5sqrt(2)))^(2)

(sqrt(5+2i^(2))+sqrt(5-2i))/(sqrt(5+2i)-sqrt(5-2i))

(sqrt3+i)^7+(sqrt3-i)^7=

Express each of the following in the form (a + ib) : {:((i),(3+sqrt(-5))(3-sqrt(-5)),(ii),(-2+sqrt(-3))(-3 + 2 sqrt(-3))),((iii),(-2+3i)^(2),(iv),(sqrt(5)-7i)^(2)):}