Question

b) Prove that/5 is an iraational number​

Answer 1

Answer:

it is an irrational number

Step-by-step explanation:

there is no explanation

Answer 2

Answer:

see explanation

Step-by-step explanation:

we know, 4 < 5 < 9

= 2 < √5 < 3           ; [doing square root]

so √5 is greater than 2 and less than 3. therefore, √5 is not an integer number.

if √5 is a rational number, √5 can be written like p/q

suppose, √5 = p/q

or, 5 = $p^{2} /q^{2}$

or, 5q = $p^{2}$/q

here, 5q is an integer. but $p^{2}$/q is not an integer.

so, 5q ≠ $p^{2}$/q

therefore, √5 is an irrational number.     ; [irrational number can't be written in fraction]

(proved)