Question

Prove that 2+√3/5 is an irrational number​

Answer 1

Answer:

let it be rational number

therefore it can be written in form of a and b where a and b are co-prime numbers.

2√3=5a/b

5a/b is rational number as it is of the form p/q which is a rational number.

but we know that √3 is irrational number so our assumption is wrong.

2√3/5 is irrational.

Step-by-step explanation:

2✓3/5 =a/b

2✓3=5a/b

✓3=5a/2b

Irrationa is not = rational

✓3 is irrational

Hence 2✓3/5 is irrational

let's assume that

2√3/5 is a rational number

then when we'll multiple with 5

2√3/5•5is also a rational number

there 2√3 is rational number

and, 2√3*1/2 also a rational number

there √3 is a rational number

but we know that √3 is an irrational number

since, 2√3/5 is an irrational number

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation: