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Prove that root5 is an irrational

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Prove that root5 is an irrational

Posted by Jogaram Khadaw 6 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Meenakhi Kumawat 6 years, 4 months ago

Let root5 is rational no. rational no. are p/q, qnot equal to 0 , p&q are co prime number √5=p/q √5q=p Squaring on both side (√5q)square=psquare 5qsquare

Deva Nand 6 years, 4 months ago

Let, us consider as root 5 is rational,where pandq are co primes √5=p÷q then √5q=p where q divides p ,so in our assumtion the root 5 is rational ia wrong ,so in the contradiction root 5is rational is correct

Yogita Ingle 6 years, 4 months ago

Let us assume that √5 is a rational number.
we know that the rational numbers are in the form of p/q form where p,q are intezers.
so, √5 = p/q
p = √5q
we know that 'p' is a rational number. so √5 q must be rational since it equals to p
but it doesnt occurs with √5 since its not an intezer
therefore, p = √5q
this contradicts the fact that √5 is an irrational number
hence our assumption is wrong and √5 is an irrational number.

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Posted by Hari Anand 6 months, 1 week ago

CBSE > Class 10 > Mathematics

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This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

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