Question

Prove that √3+ V5 is an irrational number.​

Answer 1

Step-by-step explanation:

Let us suppose that √3 + √5 is rational. Let √3 + √5 = a, where a is rational.

write image in between that given above

then cont......

As the right hand side is rational number while V5 is irrational. Since, 3 and 5 are prime numbers. Hence, √3 + √5 is irrational.

Answer 2

Answer:

under root =/ okkk

Step-by-step explanation:

so /3+/5=p divided by Q (Q=not to 0) and p and q are coprime

so first /3

/3=p/q

sqare both side

3Q2=p2

so as based on this p is a factor of 3a

so

3Q2=9a2

by solving we get that 3 is also a factor of Q

so p and Q are mot coprime

so /3 is irrational

so lly /5 is also irrational so /3+/5 is also orrqtional