Question

solve this and send me option​

Answer 1

Option - ( B )

Since a rational number is a number that can be expressed in the form of p/q where p & are integers and q≠0

And in the option ( B ) , we have

$= \: \: \frac{ - m}{ m\sqrt{m} + \sqrt{m} } \\ \\ = \: \: \frac{ - m}{ \sqrt{m} (m \: + 1)} \times \frac{ \sqrt{m} }{ \sqrt{m} } \\ \\ = \: \: \frac{ - \cancel{m} \sqrt{m} }{ \cancel{m}(m + 1)} \\ \\ = \: \: \frac{ - \sqrt{m} }{m + 1}$

Here, On comparing

p = -√m

q = (m + n)

But p & q are integers ( because It is a rational number ) But here, p might be irrational,

So option B is the correct answer.

Answer 2

Option (c)

$\frac{\sqrt -m}{\sqrt m + \sqrt m}$

= $\frac{\sqrt -m}{\sqrt 2m}$

= $\frac{\cancel{\sqrt m}}{\cancel{\sqrt 2m}}$

=$\frac{1}{m}$