(i) We have

x^{2} = 5

Taking square root on both sides.

=> **√**x^{2} = **√**5

=> x = **√**5

**√**5 is not a perfect square root, so it is an irrational number.

(ii) We have

y^{2} = 9

=> y = **√**9

=3

=3/1

**√**9 can be expressed in the form of p/q, so it a rational number.

(iii) We have

z^{2 }= 0.04

Taking square root on both sides, we get,

**√**z^{2 }=**√**0.04

=> z = **√**0.04

= 0.2

= 2/10

= 1/5

z can be expressed in the form of p/q, so it is a rational number.

(iv) We have

u^{2} =17/4

Taking square root on both sides, we get,

**√**u^{2 }=**√**17/4

=> u = **√**17/2

Quotient of an irrational and a rational number is irrational, so u is an irrational number.

(v) We have

v^{2 }= 3

Taking square root on both sides, we get,

**√**v^{2 }= **√**13

=> v = **√**3

**√**3 is not a perfect square root, so y is an irrational number.

(vi) We have

w^{2 }= 27

Taking square root on both sides, we get,

** √**w^{2 }= **√**27

=> w = **√**3 x 3 x 3

=3**√**3

Product of a rational and an irrational is irrational number, so w is an irrational number.

(vii) We have

t^{2 }= 0.4

Taking square root on both sides, we get

** √**t^{2 }= **√**0.4

=> t = **√**4/10

= 2/**√**10

Since, quotient of a rational and an irrational number is irrational number, so t is an irrational number.