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Prove that 3+2√7 is irrational

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Prove that 3+2√7 is irrational

Posted by Harshita Solanki 4 years ago

CBSE > Class 10 > Mathematics

2 answers

Akbar Ali 4 years ago

3+2root7 = a/b, 2root7 = -3a/b, root7 = -3ab/2b. Where L.H.S is irrational and R.H.S is rational . Therefore our assumation is wrong . Hence proved

Akbar Ali 4 years ago

Let us assume that 3+2root7 is rational 3+2root7 = a/b ( where a and b are co -prime numbers b not equal to 0 ) 3+2root7 = a/b 2root7 = -3a/b root7 = -3ab/2b where L.H.S is irrational and R.H.S is rational Therefore our assumation is wrong Hence ,proved.

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