Question

1. Which of the following is not a rational number?
(a) 2+ √3 (b) -7/11 (c)3.42 (d) 0.234​

Answer 1

Answer:

Answer is (a).

Step-by-step explanation:

Any rational number +any irrational number=irrational number.

Example:2+root3

Answer 2

Step-by-step explanation: In question number a) we can take as x.

So, if possible,let 2+√3 be a rational number equal to X. Then ,

X = 2+√3

X^2=(2+√3)^2

X^2 = (2)^2+(√3)^2+2*2*√3 [(a+b)^2]

X^2= 4+3+4√3

X^2= 7+4√3

X^2-7=4√3

X^2-7/4=√3

So, we considered that x is rational and x^2 is also a rational number.

Thus, this contradicts our assumption that 2+√3 is a rational number.

Hence,2+√3 is an irrational number or is not a rational number.

B) -7/11 is a rational number.

C)3.42 is a rational number because 3.42 will be 342/100 is equal to 1 71/50

D) 0.234 is also a rational number because 0.234 will be 234/1000 is equal to 117/500

Hence, we concluded that 2+√3 is not a rational number. Okay!!!!

PLZ MARK IT AS BRAINLIEST!!