given
[tex]\sqrt[]{37}[/tex]
we want to check for the whole number that are whole squares that comes before and after the given number and here the number lies between
[tex]\sqrt[]{36}\text{ and }\sqrt[]{49}[/tex]
therefore
[tex]\sqrt[]{36\text{ }}=\text{ 6 and }\sqrt[]{49}=7[/tex]
so the consecutive whole numbers are 6 and 7
