Prove that 2-3√5 is irrational

1.	Prove that 2-3√5 is irrational
Answer» Explanation: To prove 2 + 3 5 is irrational, let us assume that 2 + 3 5 is rational. a B b 2 + 3 5 = a b ; b ≠ 0 and a and b are integers. SINCE a and b are integers so, 5a - 2b will also be an INTEGER. So, a b b 5 a - 2 b b will be rational which means is also rational. ♡──━━━━━━⊱✿⊰━━━━━━──♡ $\huge \pink{✿} \red {C} \green {u} \blue {t} \orange {e} \pink {/} \red {Q} \blue {u} \pink {e} \red {e} \green {n} \pink {♡}$

Answer»

Explanation:

To prove 2 + 3 5 is irrational, let us assume that 2 + 3 5 is rational. a B b 2 + 3 5 = a b ; b ≠ 0 and a and b are integers. SINCE a and b are integers so, 5a - 2b will also be an INTEGER. So, a b b 5 a - 2 b b will be rational which means is also rational.

♡──━━━━━━⊱✿⊰━━━━━━──♡

$\huge \pink{✿} \red {C} \green {u} \blue {t} \orange {e} \pink {/} \red {Q} \blue {u} \pink {e} \red {e} \green {n} \pink {♡}$

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Prove that 2-3√5 is irrational

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