Question

Prove that 3+ 5 is an irrational number if 5 sgiven an irrational number​

Answer 1

Answer:

1

2

3

4 A

4 B

4 C

4 D

Q. 2

4.2

( 16 Votes )

Prove that 3 + √5 is an irrational number.

MHB - Math Part-I

2. Real Numbers

Answer

Let us assume that 3 + √5 is a rational number

where, b≠0 and a, b are integers

∵ a, b are integers ∴ a – 3b is also integer

is rational which cannot be possible

∵

which is an irrational number

∵ it is contradicting our assumption ∴ the assumption was wrong

Hence, 3 + √5 is an irrational number