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Prove that 3+2√5 is irrational?

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Prove that 3+2√5 is irrational?

Posted by Vaishali Doultani 1 year, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Nitika Arya 1 year, 2 months ago

Use app Login Class 10 >>Maths >>Real Numbers >>Revisiting Irrational Numbers >>Prove that 3 + 2√(5) is irrational. Question Prove that 3+25 is irrational. Medium Open in App Updated on : 2022-09-05 Solution Verified by Toppr Prove 3+25 is irrational. → let take that 3+25is rational number → so, we can write this answer as ⇒3+25=ba Here a & b use two coprime number and b=0. ⇒25=ba−3 ⇒25=ba−3b ∴5=2ba−3b Here a and b are integer so 2ba−3b is a rational number so 5 should be rational number but 5 is a irrational number so it is contradict - Hence 3+25 is irrational.

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