Question

2.Examine whether the following numbers are rational
or irrational
(a) (i) 5 (ii) 19 (iii) 45
(iv) (5-2)(5+ V2) ( ) (3 + 2)2 (vi) V6-2​

Answer 1

Answer:

i) 5, ii) 19 and iii) 45

v) (3+2)2 are rational number

whereas (iv) (5-2) (5+V2) and (v) V6 - 2 are Irrational number.

Step-by-step explanation:

i) 5, ii) 19 and iii) 45 are rational as it can be written in form of p/q as (i) 5/1 , (ii) 19/1 and (iii) 45/1

iv) (5-2) (5+V2) => 3(5+V2) => 15 + 3V2, which is Irrational number root 2 is Irrational number because it is not In the form of p/q know that wherever number has root integer it is irrational number.

v) (3-2)2 => 1×2 => 2, Which is easily in the form of p/q i.e 2/1 , hence it is an rational number.

vi) V6 – 2= 0, => V6 = 2 which is not possible I.e. Irrational number = rational numbers is not possible as we know V6 is Irrational number, hence it is irrational number.

Thankyou

By Aaditya Singh