Question

Please answer this question in deyail form

Answer properly because each question carries 5 points

Answer 1

So 9/2 is the correct answer

Answer 2

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THE ANSWER IS HERE,


1)

$= > \: \frac{3 \sqrt{8} }{ \sqrt{2} }$

$= > \: \frac{3 \times 2 \sqrt{2} }{ \sqrt{2} }$

$= > \: 6.$

Here, 6 is a rational number. So the number is also a rational number.

2)
$= > {( \sqrt{2} + \frac{1}{ \sqrt{2} }) }^{2}$

$= > \: ({ \sqrt{2} )}^{2} + ({ \frac{1}{ \sqrt{2} }) }^{2} + 2( \sqrt{2} )( \frac{1}{ \sqrt{2} } )$

$= > \: 2 + \frac{1}{2} + 2$


$= > \: \: 4.5$

Hence, it is a rational number.


3)
$= > \: \frac{ \frac{22}{7} }{5\pi}$

$= > \: \frac{1}{5}$

so, it is also a rational number.


4)

$= > \: (3 + \sqrt{2} )(3 - \sqrt{2} )(2 + \sqrt{3} )(2 - \sqrt{3} )$

$= > \: ( {3}^{2} - ({ \sqrt{2} )}^{2} )( {2}^{2} - ( { \sqrt{3} )}^{2} )$

$= > \: (9 - 2)(4 - 3)$

$= > \: 7.$

Hence, the number is an rational number.



:-)Hope it helps u.