Question

3. Prove that the following are irrationals:
$(1).\frac{1} { \sqrt{2} }$
$(2).7 \sqrt{5}$
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Answer 1

1) $\frac{1}{\sqrt{2} }$ as q ≠ integer so it is an irrational number.

2) $7\sqrt{5} = 9.581076...$ As it is not ending and non repeated it is irrational.