Question

prove that 2√5 is irrational​

Answer 1

Step-by-step explanation:

Euclid's proof starts with the assumption that √2 is equal to a rational number p/q.

1....√2=p/q. Squaring both sides,

2...2=p²/q² The equation can be rewritten as.

3..2q²=p² From this equation, we know p² must be even (since it is 2 multiplied by some number). ...

4..2q²=p²=(2m)²=4m² or. ...

5..q²=2m² ...

6..√2=p/q=2m/2n. ...

7...√2=m/n.

Answer 2

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