If `a=(1+i)/sqrt(2)` find the value of `a^6+a^4+a^2+1`

If a=\ sqrt(2)+1 , then find the value of a-1/a

If costheta=(1)/(sqrt(2)) ,then find the value of (tan^(2)theta+1) .

If x=sqrt(-2)-1 find he value of x^4+4x^3+6x^2+4x+9

If a=1-sqrt(2),"then find the value of "(a-(1)/(a))^(3)

Find the value of 1+i^2+i^4+i^6++i^(2n)

If x= 5 - 2 sqrt6 , find the value of : x^(2) +(1)/(x^(2))

If a=(1+i)/sqrt2," where "i=sqrt(-1), then find the value of a^(1929) .

Find the value of (1+ i)^(6) + (1-i)^(6)

If sqrt(2)= 1.4 and sqrt(3) = 1.7 find the value of each of the correct to one decimal place: (1)/(3+2sqrt(2))

If sqrt(2)=1*4 and sqrt(3)=1*7 , find the value of 1/(sqrt(3)-sqrt(2)) , correct to one place of decimal.