Two classmates Rahul and Yash simplified two different expression during the revision hour and explained

to each other

Two classmates Rahul and Yash simplified two different expression during the revision hour and explained

to each other their simplification. Answer the following questions
(i) By rationalizing the denominator of 1

√5−√3

, Yash got the correct answer as

(a) √5−√3

3

(b) √5+√3

2

(c) √5+√3

1

(d) √5−√3

1

(ii) If x = 1

√3+√2

then x + 1

is equal to

(a) 2√2 (b) -2√3 (c) 2√3 (d) -2√2

(iii) A rational number between √2 and √3 is

(a) √2+

2

(b) √2×√3

2

(c) 1.5 (d) 1.8

(iv) Which of the following is an irrational number ?

(a) 0.14 (b) 0.1416 (c) 0. 1416 (d) 0.40114…​