Which of the following are irrational numbers-0-2-3-1415926535- -non-repeating and non-terminating-3-0-2-2-

The correct options are B 3.1415926535... (non repeating and non terminating) C √(3) Non terminating and non repeating decimals are irrational. Hence, 3.141592 ...

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Mathematics

Sqrt(p) is Irrational, Where p is Prime

Which of the ...

Question

Which of the following are irrational numbers?

0.2

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3.1415926535... (non-repeating and non-terminating)

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$\sqrt{3}$

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${0.2}^{2}$

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Solution

The correct options are
B
3.1415926535... (non-repeating and non-terminating)

C
$\sqrt{3}$

Non-terminating and non-repeating decimals are irrational. Hence, 3.1415926535... and $\sqrt{3}$ are irrational.

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Similar questions

Q. Mark the correct alternative in each of the following:

1. Which one of the following is a correct statement?
(a) Decimal expansion of a rational number is terminating
(b) Decimal expansion of a rational number is non-terminating
(c) Decimal expansion of an irrational number is terminating
(d) Decimal expansion of an irrational number is non-terminating and non-repeating

Q. All non-terminating and non-repeating decimals are Irrational numbers.

Q. are non terminating repeating decimals and irrational numbers the same

Q. Decimals representation of an irrational number is
(a) always a terminating decimal
(b) either a terminating or a repeating decimal
(c) either a terminating or a non-repeating decimal
(d) always non-terminating and non-repeating decimal

Q. Which option is not correct about an irrational number?

A . π (3.14159265....), \sqrt{13}

(3.605551275...), and e (2.7182818.....) are irrational numbers.

B . \frac{2}{3} = 0.6666

is not an irrational number because the decimal value is recurring (repeating).
C. The decimal expansion is terminating or non-terminating recurring (repeating) in the irrational numbers.
D. Irrational numbers cannot be expressed in the form of a fraction or ratio.

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Which of the following are irrational numbers?

The correct options are B 3.1415926535... (non-repeating and non-terminating) C √3 Non-terminating and non-repeating decimals are irrational. Hence, 3.1415926535... and √3 are irrational.

The correct options are
B
3.1415926535... (non-repeating and non-terminating)

C
$\sqrt{3}$

Non-terminating and non-repeating decimals are irrational. Hence, 3.1415926535... and $\sqrt{3}$ are irrational.