Question :- if r is rational and s is irrational, then r + s and r - s are irrational numbers, and rs and r/s are irrational numbers, r ≠ 0.
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r is a rational number and s is irrational, then r + s is irrational. Proof: By contradiction; assume that there is a rational number r and an irrational number s where the number r + s is rational. Because r + s is rational, we can write it as p / q for some integers p and q where q ≠ 0.
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Step-by-step explanation:
yes its true
if you are taking r=3
s=1.73.........
if you add,sub,multiply and divide. both you get irrational
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