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√5 irrational

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√5 irrational

Posted by Arun Patel 7 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Rohit Keshri 7 years, 2 months ago

Sol- let, √5 be rational no. Then, it is in the form of p/q where q not equals to zero and P and q are co-prime. √5=p/q On squaring both side- 5=p²/q² 5q²=p² ____eqation (1) Since, 5 divides p² Therefore, 5 divides p Again, Let, p=5c On squaring both side, P²=25c² 5q² =25c² from equation 1 q² =5c² Since, 5 divides q² Therefore, 5 divides q Since, 5 is the common factor . Therefore, this contradiction Therefore, √5 is an irrational no.

2Thank You

Shivansh Sharma 7 years, 2 months ago

Yes

1Thank You

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Posted by Hari Anand 9 months, 3 weeks ago

CBSE > Class 10 > Mathematics

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If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

Posted by Parinith Gowda Ms 6 months, 4 weeks ago

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Posted by Kanika . 4 months, 2 weeks ago

CBSE > Class 10 > Mathematics