prove root 3 is a irrational number
Answers
Answered by
2
Answer: your answer is below please see it...
Step-by-step explanation:
ALL THE BEST TO TO YOUR EXAMINATION
Attachments:
![](https://hi-static.z-dn.net/files/ded/432e952504542d4a8439aafc790995cc.jpg)
Answered by
4
Let us assume that root 3 is rational.
Root 3 = a/b where a and b are integers and coprimes.
Root 3 * b = a
Square LHS and RHS
3b2 = a2
b2 = a2/3
Therefore 3 divides a2 and 3 divides a.
Now take ,
a = 3c
Square ,
a2 = 9c2
3b2 = 9c2
b2/3 = c2
Therefore 3 divides b2 and b
I hope this will helps u...
Similar questions
Physics,
6 months ago
Hindi,
6 months ago
India Languages,
6 months ago
Physics,
1 year ago
Social Sciences,
1 year ago