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Prove that 4-3✓2 is an irrational …

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Prove that 4-3✓2 is an irrational number

Posted by Marzia Ahmad Zaidi 4 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Swarnamudra Sahu 4 years, 7 months ago

Let us assume that 4-3root 2 is rational So we can write 4-3root 2 as a/b where a and b are co prime & b is not equal to 0 4-3 root 2=a/b -3root 2 =a/b -4 -3root 2=a-4b/b root 2 = a-4b/3b root 2=-a-4b /3b Here root 2 is an irrational number. But a-4b/-3b or -a-4b/3b is rational number. Therefore it is a contradiction to our assumption that 4-3 root 2 is a rational number. Thus 4-3 root 2 is irrational number Hope it helps

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