Question

Show that 3+⁵√2 is an irrational number.​

Answer 1

Step-by-step explanation:

Let us assume that 3+5√2 is rational and we can find integers a and b ,( b≠0) such that,

• 3+5√2= a/b

Also , a and b are co - primes

• 5√2 = a/b - 3
• √2 = a/5b - 3/5

since a and b are integers

We get , a/5b - 3/5 is rational and so, √2 is also rational.

But , the fact that √2 is irrational.

This contradiction has arisen incorrect assumption that 3+5√2 is rational.

Therefore, we conclude that 3+5√2 is irrational.

Hope it would be helpful to you!

Answer 2

Answer:

harnaut and you

Step-by-step explanation:

?????