+3 votes
in Class 10 by kratos

Which of the following numbers are irrational?

(a) √2

(b) 3√6

(c) 3.142857

(d) 2.3 bar

(e) π

(f) 22/7

(g) 0.232332333….

(h) 5.2741 bar

1 Answer

+1 vote
by kratos
 
Best answer

(a) √2 is irrational (∵if p is prime, then √ is irrational).

(b) 3√6 = 3√2 × 3√3 is irrational.

(c) 3.142857 is rational because it is a terminating decimal.

(d) 2.3 bar is rational because it is a non-terminating, repeating decimal.

(e) π is irrational because it is a non-repeating, non –terminating decimal.

(f) 22/7 is rational because it is in the form of p/q , q ≠ 0.

(g) 0.232332333…. is irrational because it is a non-terminating, non-repeating decimal.

(h) 5.2741 bar is rational because it is a non-terminating, repeating decimal.

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