show that 4 minus 3 root 2 is an irrational
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let 4-3√2 be a rational no.
then, it must follow the condition that
4-3√2 = p/q
3√2 = 4-p/q
3√2 = (4q-p)/q
√2 = (4q-p)/3q
it means that √2 is a rational no. but it is a irrational no. so it contradict. hence, 4-3√2 is an irrational no.
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then, it must follow the condition that
4-3√2 = p/q
3√2 = 4-p/q
3√2 = (4q-p)/q
√2 = (4q-p)/3q
it means that √2 is a rational no. but it is a irrational no. so it contradict. hence, 4-3√2 is an irrational no.
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