Which of the following is-are an irrational number-5-7-22-7-

The correct options are A π B √(5) C √(7) π is not a rational number. Often we mention it as 22/7, but it is not exactly 22/7; It is approximated to be so. π ...

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Standard IX

Mathematics

Identification of Rational and Irrational Numbers

Which of the ...

Question

Which of the following is/are an irrational number?

$π$

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$\sqrt{5}$

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$\sqrt{7}$

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$\frac{22}{7}$

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Solution

The correct options are
A
$π$

B
$\sqrt{5}$

C
$\sqrt{7}$

$π$ is not a rational number. Often we mention it as $\frac{22}{7}$ , but it is not exactly $\frac{22}{7}$ ; It is approximated to be so. $π$ is the ratio of circumference and diameter of a circle.
Moreover, square roots of prime numbers are always irrational.

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Similar questions

Which of the following is a true statement ?

(a) (\pi\) and $\frac{22}{7}$ are both rationals.

(b) $π$ and $\frac{22}{7}$ are both irrationals.

(d) $π$ is irrational and $\frac{22}{7}$ is rational.

Q. Show that 5 +

\sqrt{7}

is an irrational number.

Q. Which of the following steps prove that

\sqrt{7}

is an irrational number.

Q. Which of the following are irrational numbers?
(i)

\sqrt{2 + \sqrt{3}}

(ii)

\sqrt{4 + \sqrt{25}}

(iii)

\sqrt[3]{5 + \sqrt{7}}

(iv)

\sqrt{8 - \sqrt[3]{8}}

Which of the following is/are an irrational number?

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Which of the following is/are an irrational number?

The correct options are A π B √5 C √7 π is not a rational number. Often we mention it as 227, but it is not exactly 227; It is approximated to be so. π is the ratio of circumference and diameter of a circle. Moreover, square roots of prime numbers are always irrational.