Answer:
[tex]\sqrt{49}[/tex]
Step-by-step explanation:
[tex]\sqrt{49} =7[/tex]
The square root of 49, which is the greatest perfect square that is less than 55.
A perfect square that is the nearest, greater perfect square to [tex]\sqrt{49}[/tex] is [tex]\sqrt{64}[/tex].
There are no other perfect squares in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] there are only decimals.
Therefore, [tex]\sqrt{49}[/tex] is your answer.
Proof:
[tex]7^{2} =49[/tex]
[tex]8^{2}=64[/tex]
