Mathematics, 25.09.2019 15:30, hannahkharel2
F$1 \le a \le 10$ and $1 \le b \le 36$, for how many ordered pairs of integers $(a, b)$ is $\sqrt{a + \sqrt{b}}$ an integer?
Answers: 1
. If this expression becomes an integer, then b=4,9,16,25, because then 
2,3,4,5, respectively. In other cases 
is not integer and thus the expression 
. Here a=2,7 (in other cases 
is not integer). When a=2, 
and when a=7, 
.
.
.
.
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F$1 \le a \le 10$ and $1 \le b \le 36$, for how many ordered pairs of integers $(a, b)$ is $\sqrt{a...
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