Solution 3.1:8b
From Förberedande kurs i matematik 1
If we write the numbers in power form,
\displaystyle \sqrt{7}=7^{{1}/{2}\;}
and
\displaystyle 7=7^{1}
it becomes clear that
\displaystyle 7 is larger than
\displaystyle \sqrt{7}, because both numbers have the same base,
\displaystyle 7, which is larger than
\displaystyle 1
and the exponent
\displaystyle 1 is greater than
\displaystyle {1}/{2}\;.
