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Prove that 2underroot 3 - 4 is an irrational no |
| Answer» Let us considered that 2√3-4 is rational no. That is, it can be written in the form of p/q where p and q are co-primes and q is not equal to 0.Let, "a" be the required rational no. That implies, 2√3-4=a2√3=a+4√3=a+4/2We know that "a" is rational no. That is, a+4/2 is also rational, but √3 is irrational. Which means that, Irrational is not equal to rational Hence, 2√3-4 is irrational Proved!! | |