Question

prove that √3+√7 is irrational​

Answer 1

Answer:

Let it be a rational

means it is of form x/y

where x and y are co prime integers and y not equal to 0

√3+√7=x/y

Sqaring both sides

3+7+2√21=x²/y²

10+2√21=x²/y²

x²-10y²/2y²=√21

but it contradict the fact that x and y are co-prime integers are √21 is irrational and x²2-10x²/2y2 is rational

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