Question

preethi picked up root 6 and her question was which of the following is not irrational​

Answer 1

Answer:

it is a irrational number because it cannot be represented by p/q form.

Answer 2

Given : Preethi picked up root 6 and her question was

To Find :   which of the following is not irrational​

a) 15 + 3√6

b) √24   - 9

c) 5√150

d)  none of these

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.

a) 15 + 3√6  is an irrational number

as √6 is irrational number

and product of a non zero rational number and irrational number is irrational  and then sum of a rational number and irrational number is also irrational

b) √24   - 9    is an irrational number

2√6  + (-9)

an irrational number   ( same reason as above)

c) 5√150      is an irrational number

= 5 * 5√6

= 25√6

as √6 is irrational number

and product of a non zero rational number and irrational number is irrational

Hence   none of these is correct option

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