Question

prove that 2-root 3 is irrational number​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

2√3 is irrational is true

assume 2√3 is rational

2√3 = p/q. q is not equal to 0

squaring on both side

12 = p²/q²

12q² = p²

p divides 12

(√12q)² = (12r)²

12q²= 144r²

q²= 12r²

q divides 12

therefore 2√3 is irrational number