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prove that √7 is irrational (plz …

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prove that √7 is irrational (plz write step by step)

Posted by Chirayu . 6 years, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Rahul Singh 6 years, 9 months ago

Let root 7 be a rational number Then root 7 is equal to p upon q where p and q are coprime integers and q is not equals to zero........ By squaring both sides.... 7=p²/q²........ q²=p²/7 If 7 divides p² 7 also divides p..... Let p=7c...... q²=49c²/7......... q²=7c²......... q²/7=c²...... If 7 q² then 7 also divides q...... Hence p and q are not coprime integers..... Our assumption was wrong that √7 is a rational number........ Root 7 is not a rational number..... Root 7 is an irrational number

1Thank You

Chirayu . 6 years, 9 months ago

what types of Questions have chances to come in board xams from ch 1

0Thank You

Amaresh Basu 6 years, 9 months ago

You can see in text book page 13...there it is proved that root3 is irrational....u can get help from there

1Thank You

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CBSE > Class 10 > Mathematics