Question

Prove that ROOT 5 - ROOT 3 is not a rational number.
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Answer 1

Answer:

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let us assume that root 5 - root 3 is a rational number .

Therefore ,

root 5 - root 3 = p/ q where p amd q are integers and q is not equal to 0.

Root 5 - root 3 = a / b where a and b are co-primes.

therefore ;

root 5 = a / b + root3

but as we know that root 5 is irrational .

It contradicts the fact that root 5 is rational .

This is because of our wrong assumption that root 5 - root 3 is a rational number .

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Answer 2

Answer:

This is the answer. Please do root 5 on ur own in the same process