show that 5- root3 is irrational
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let 5- root 3 be irrational no.
a nd b are integer having no common factor other than 1.
5- root 3=a/b
root3=5a/b
root3=5b-a/b
if root 3 is rational then 5b-a/b is also rational.
therefore 5-root3is irrational no.
hope it is help full for u...
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