Question

blę7. Show that 7 5 is an irrational number.​

Answer 1

Answer:

Let us assume that 7

5

is rational number

Hence 7

5

can be written in the form of

b

a

where a,b(b



=0) are co-prime

⟹7

5

=

b

a

⟹

5

=

7b

a

But here

5

is irrational and

7b

a

is rational

as Rational



=Irrational

This is a contradiction

so 7

5

is a irrational number

Answer 2

Step-by-step explanation:

Let 7√5 be a rational number. So, 7√5 = p/q. ... So, by this we can say that 7√5 is irrational Number

let,

7 roots 5is a Rational Number

7 roots 5 can be

can bewritten

can bewrittenin the form of a by b where a ,b are rational numbers and [ bnot equalto 0 ]

and co-prime numbers

= 7iroot 5= a by b

=root 5 = a by 7b.

But root 5 is a irrational Number and a by 7b are irrational Number

as Rational Number is not equal to irrational Number

Hence it is Contradiction

So, 7 Root 5 iS a Irrational Number.

Hence Proved / /