Question

Which of the following is irrational
A √ 4/9, √ 12/√3,√5,√81

Answer 1

Step-by-step explanation:

$sol {}^{n}$

$\sqrt{ \frac{4}{9} } = \frac{2}{3}$

$\sqrt{ \frac{12}{3} } = \frac{2 \sqrt{3} }{ \sqrt{3} } = 2$

$\sqrt{5} = \sqrt{5}$

$\sqrt{81} = 9$

$hence \: \: \: \sqrt{5} is \: irrtional$

Answer 2

√5 is Irrational number

Given : Few real numbers

To Find :  which of the following is irrational?

a)√4/9

b)√12/√3.

c)√5

d)√81

Solution:

Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0

All real numbers which are not rational  are irrationals.

Rational numbers are terminating decimals or non terminating recurring decimal.

Irrational numbers are non terminating non-recurring decimals

a)√4/9

= 2/9

is Rational number  as p/q form where p , q are integers and  q≠0

b)√12/√3.

= 2√3 /√3

= 2

= 2/1

is Rational number  as p/q form where p , q are integers and  q≠0

c)√5

Irrational number as  not in p/q form where p , q are integers

d)√81

= 9

= 9/1

is Rational number  as p/q form where p , q are integers and  q≠0

Hence √5 is Irrational number

Correct option is c)√5

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