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gaurav517
@gaurav517
April 2021
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Q.1 . pls solve this question with all the steps
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shreydoda14

1
Secondary SchoolMath5 points
Prove that 2 root 3 /5 is an irrational number
Ask for details Follow Report by Sweety26310.02.2018
Answers

pradumna Helping Hand
Root 3/5 Is an irrational number thus 2 root3/5 is also irrational
2.7
3 votes
THANKS
4
CommentsReport

akhileshpokale4 Ambitious
Let 2root 3 / 5 be a rational no. in the form a/b where, a and b are integers.
Now,
2root3 / 5 = a / b
2root3 = 5a / b
root3 = 5a / 2b
Here. since a/b is a rational no., so 5a / 2b is also a rational no.
Hereby, root3 should also be a rational no.
But this contradicts tha fact that root3 is a rational no.
So, our assumption is wrong and hence 2root3 / 5 is an irrational no.
hope it helps
please mark me the brainleist and follow me
1 votes
Thanks 1
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Answers & Comments
1
Secondary SchoolMath5 points
Prove that 2 root 3 /5 is an irrational number
Ask for details Follow Report by Sweety26310.02.2018
Answers

pradumna Helping Hand
Root 3/5 Is an irrational number thus 2 root3/5 is also irrational
2.7
3 votes
THANKS
4
CommentsReport

akhileshpokale4 Ambitious
Let 2root 3 / 5 be a rational no. in the form a/b where, a and b are integers.
Now,
2root3 / 5 = a / b
2root3 = 5a / b
root3 = 5a / 2b
Here. since a/b is a rational no., so 5a / 2b is also a rational no.
Hereby, root3 should also be a rational no.
But this contradicts tha fact that root3 is a rational no.
So, our assumption is wrong and hence 2root3 / 5 is an irrational no.
hope it helps
please mark me the brainleist and follow me