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Question

Which of the following are irrational numbers?
(i) 2+3
(ii) 4+25
(iii) 35+7
(iv) 838.

A
(ii), (iii) and (iv)
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B
(i), (ii) and (iv)
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C
(i), (ii) and (iii)
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D
(i), (iii) and (iv)
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Solution

The correct option is D (i), (iii) and (iv)
Option (i)
3 is irrational, so 2+3 is also irrational.

Option (ii)
25=5, so we get 4+5=9=3, which is rational.

Option (iii)
7 is irrational, so 35+7 is also irrational.

Option (iv)
38=2, so we get 82=6, which is irrational.

(i), (iii) and (iv) are irrational.
That is, option D is correct.

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