Prove that the following are irrationals : (i) `1/(sqrt(2))` (ii) `7sqrt(5)` (iii) `6+sqrt(2)`
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Irrational numbers are the subset of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero `(q ≠ 0)`.
(i) `1/(sqrt2)`
Let us assume that `1/(sqrt2)` is a rational number.
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