4. Prove that 5root3 is irrational, using the fact that root3 is irrational.
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VijayaLaxmiMehra1:
This is not a proper step.
we have been told to do it in this way
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let us suppose 5 root 3 is irrational
It means , we have coprime integers a and b ( b not equal 0 )
a/b = 5 root 3
a/5 = root 3........( i )
now, a and b are integers.
It means LHS of eq. is irrational , and RHS is also irrational. It is possible.
therefore, 5 root 3 is rational.
proved
It means , we have coprime integers a and b ( b not equal 0 )
a/b = 5 root 3
a/5 = root 3........( i )
now, a and b are integers.
It means LHS of eq. is irrational , and RHS is also irrational. It is possible.
therefore, 5 root 3 is rational.
proved
in last I write rational. U can correct it by written Irrational
This is not a proper step.
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