prove that 2+3✓5 is irrational
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Step-by-step explanation:
therefore proved that √5 is an irrational number
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Step-by-step explanation:
Let x=2−3root 5be a rational number.
3 root 5 =2−x
root 5 =( 2-x)/3
Since x is rational, 2-x is rational and hence
(2-x)/3
is also rational number
⇒ root 5 is a rational numbers, which is a contradiction.
Hence 2-3 root5 must be an irrational number.
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