Question

Prove that 4-3√2 is an irrational number

Answer 1

to prove 4 minus 3 root 2 is an irrational number let the number is an irrational number and it is in the form of p upon q

then

4-3√2 =p/q
3√2 = 4-p/q

then √2 = 4-p/q /3

but we know that root 2 is an irrational number so 4 minus P upon Q upon 3 is an also a rational number that's means the following number 4 minus 3 root 2 is an also a irrational number.

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