" 6.(i) "root(4)(15)" (ii) "(82)^(1/4)

Using differentials, find the approximate values of the following: (i) root(4)15 (ii)(82)^(1//4)

Compare : (i) root(6 )(15) and root(4)(12)" (ii) "sqrt(24) and root(3)(25)

Find an approximate value of (i) (1)/(root(3)(999)) (ii) (627)^((1)/(4)) corrected to 5 decimal places

Simplify (i) (3^(4))^((1)/(2)) (ii) (64)^((1)/(6)) (iii) ((1)/(3^(4)))^((1)/(2))

Simplify each of the following: (i) root(3)4xx root(3)(16) (ii) root(4)(1250)/(root(4)(2))

Write the additive inverse of : (i) (3)/(8) (ii) (-8)/(15) (iii) (4)/(-13) (v) (-6)/(-11)

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

Simplify each of the following: (i) root(5)(16)xxroot(5)(2) (ii) root(4)(243)/root(4)(3)