A rational number between √2 and √3 is:

1957 AMC 12 Problem 13

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13.

A rational number between

\sqrt2

and

\sqrt3

is:

\dfrac{\sqrt2+\sqrt3}{2}

\dfrac{\sqrt2\cdot\sqrt3}{2}

1.5

1.8

1.4

Compare the decimal choices with

\sqrt2\approx1.414

and

\sqrt3\approx1.732

The radical expressions in the first two choices are irrational

Since

\begin{gathered} \sqrt2\approx1.414<1.5,\\ 1.5<1.732\approx\sqrt3, \end{gathered}

the rational number

1.5

lies between the two radicals.

Therefore, the correct answer is C.