Question

Prove that 3/√5 is an irrational number.​

Answer 1

Answer:

Proof: Letus assume that 3 + √5 is a rational number. This shows (a-3b)/b is a rational number. But we know that √5 is an irrational number, it is contradictsour to our assumption.

Answer 2

Answer:

To prove:

3/√5 is an irrational number.

Solution:

3/√5

= 3/√5 × √5/√5

= 3√5/5 which is an irrational number

Therefore, 3/√5 is an irrational number.

(√5 is an irrational number because the exact square root of √5 does not exist and if carried out, the number will be a non- terminating decimal, hence 3/√5 is an irrational number.)

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