Question

In a classroom activity on real numbers, the students have to pick a number card from a

pile and frame a question on it if it is not a rational number for the rest of the class. The

number cards picked up by first 5 students and their questions on the numbers for the rest

of the class are as shown below. Answer them.

Questions 41- 45 are based on Case Study 1

41 Suraj picked up √8 and his question was: Which of the following is true about √8 ?

(a) It is a natural number

(b) It is an irrational number

(c) It is a rational number

(d) None of these

42 Shreya picked up ‘BONUS’ and her question was: Which of the following is not

irrational?

(a) 3-4√5

(b) √7 -6

(c) 2 +2√9

(d) 4√11 – 6

43 Ananya picked up √15−√10 and her question was: √15−√10 is ____ number.

(a) a natural

(b) an irrational

(c) a whole

(d) a rational

44 Suman picked up 1/√5 and her question was: 1/√5 is _______ number.

(a) a whole

(b) a rational

(c) an irrational

(d) a natural

45 Preethi picked up √6and her question was: Which of the following is not irrational?

(a) 15 +3 √6

(b) √24 -9

(c) 5√150

(d) None of these​

Answer 1

Step-by-step explanation:

41.(b)

42.(c)

43.(b)

44.(c)

45.(d)

Mark me the brainliest

Answer 2

Answer:

The answers to the questions are as follows:

41. Option (b) It is an irrational number

Because it cannot be expressed in the ratio $\frac{p}{q}$, $\sqrt{8}$ is definitely not a rational number and also not a natural number.

42. Option (c) $2+2\sqrt{9}$

$2+2\sqrt{9}$ can be written as 2 + (2×±3) because $\sqrt{9}=$ ±$3$

$2+2\sqrt{9}=2+(2*3)$ or $2+(2*(-3))=2+6$ or $2-6=8$ or $4$ either of which are rational numbers. Other options are not suitable because they're clearly irrational numbers.

43. Option (b) an irrational

$\sqrt{15} -\sqrt{10}=\sqrt{5}$ Difference/sum of two irrational numbers is an irrational number. Here, the difference obtained is $\sqrt{5}$ which is an irrational number. So, the correct answer is (b).

44. Option (c) an irrational

$\frac{1}{\sqrt{5} }$ an irrational number because though it looks like it is in the form  $\frac{p}{q}$, it is not. p and q should be integers. $\sqrt{5}$ is not an integer, it's irrational. Hence, $\frac{1}{\sqrt{5} }$ is irrational.

45. Option (d) None of these

None of the options provided is a rational number because all of them are irrational.