Question

x²=7 , y²=25, z²=0.0009,. v²=0.25 among these which variable is an irrational number​

Answer 1

Answer:

x^2 =7 is an irrational number

Answer 2

SOLUTION

TO DETERMINE

x²=7 , y²=25, z²=0.0009, v²=0.25 among these which variable is an irrational number

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

A number which is not rational is called irrational number

EXAMPLE

$\sf{ {x}^{2} = 7 \: \: \: gives \: \: x = \pm \: \sqrt{7} }$

$\sf{ {y}^{2} = 25 \: \: \: gives \: \: y = \pm \: 5}$

$\sf{ {z}^{2} = 0.0009 \: \: \: gives \: \: y = \pm \: 0.03}$

$\sf{ {v}^{2} =0. 25 \: \: \: gives \: \: v = \pm \: 0.5}$

So From above we can conclude that

$\pm \: \sqrt{7}$ is irrational number

FINAL ANSWER

Hence the required irrational number is given by

$\sf{ {x}^{2} = 7}$

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