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Find which of the variables x, y, z and ...

Find which of the variables `x, y, z` and `u` represent rational numbers and which irrational numbers:(i) `x^2=5` (ii) `y^2=9`(iii)`z^2=0.04`(iv) `u^2=17/4`

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The correct Answer is:
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(a) `x^(2)=5" "rArr" "x=+-sqrt(5)`
`:.x" respresents irrational number"`.
(b) `y^(2)=9" "rArr" "y=+-sqrt(9)=+-03`
`:.y" respresents rational number"`.
(c ) `z^(2)=0.04" "rArr" "z=+-sqrt(0.04)=+-0.2=+-(2)/(10)`
`:.z" respresents rational number"`.
(d) `u^(2)=(17)/(4)" "rArr" " u=+-sqrt(17/(4))=+-(sqrt(17))/(2)`
`:.u" respresents irrational number"`.
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