Answer:
The consecutive numbers are 4 and 5
Explanation:
We need to find square root of two whole numbers a and b, such that
[tex]\sqrt[]{a}<\sqrt{21}<\sqrt[]{b}[/tex]
For
[tex]\sqrt[]{a},\sqrt[]{b}[/tex]
to be whole numbers, then a and b must be perfect squares.
The perfect squares that satisfy this condition are:
16 and 25, therefore,
[tex]\begin{gathered} \sqrt[]{16}<\sqrt[]{21}<\sqrt[]{25} \\ \\ 4<\sqrt[]{21}<5 \end{gathered}[/tex]
The numbers are 4 and 5
