Question

prove the following as irrational numbers
√3/5
pleas answer me guys
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Answer 1

Answer:

Let V3 +V5 be a rational number,

say r

then V3 + V5 = r

On squaring both sides

(V3 + V5)² = r2

3 + 2 V15 + 5 = r2

8 + 2 V15 = r2

2 V15 = r2 - 8

V15 = (r2 - 8) / 2

Now (r2 - 8) / 2 is a rational number and V15 is an irrational number.

Since a rational number cannot be equal to an irrational number. Our assumption that V3 + V5 is rational wrong.