Exercise · ZW-DENSITY-OF-THE-RATIONALS-003 · ★☆☆ Basic
Which rational lies between \(\sqrt2\) and \(\sqrt3\)?
Choose one option.
Show answer
- A. \(\tfrac32\)
Explanation
\(\sqrt2\approx1.414\), \(\sqrt3\approx1.732\) and \(\tfrac32=1.5\). The others, \(1.4\), \(1.75\) and \(1.41\), fall outside.
Review the concept: Density of the rationals
Property of the rationals \(\mathbb Q\) inside the reals: between any two distinct reals \(a<b\) there is always a rational \(q\).
\[a
More practice problems: density of the rationals
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