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prove that[ 3 plus 2root 5 ]square is an irrational no

Posted by Navjot Kaur 7 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Susai Raj 7 years, 6 months ago

We know that the sum of a rational and an irrational is irrational and the product of a rational and an irrational is irrational and √5 is irrational.
So (3+2√5)^2
=3^2+2×3×2√5+(2√5)^2
=9+12√5+20
=29+12√5
Here 12√5 is irrational and hence 29+12√5 is irrational.

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CBSE > Class 10 > Mathematics