1.) √27 is between [tex]\large\underline{ \mathtt {5}}[/tex] and [tex]\large\underline{ \mathtt {6}}[/tex], since [tex]\large\underline{ \mathtt {5}}[/tex]² = [tex]\large\underline{ \mathtt {25}}[/tex], [tex]\large\underline{ \mathtt {6}}[/tex]² = [tex]\large\underline{ \mathtt {36}}[/tex]
2.) √78 is between [tex]\large\underline{ \mathtt {8}}[/tex] and [tex]\large\underline{ \mathtt {9}}[/tex], since [tex]\large\underline{ \mathtt {8}}[/tex]² = [tex]\large\underline{ \mathtt {64}}[/tex], [tex]\large\underline{ \mathtt {9}}[/tex]² = [tex]\large\underline{ \mathtt {81}}[/tex]
3.) √95 is between [tex]\large\underline{ \mathtt {9}}[/tex] and [tex]\large\underline{ \mathtt {10}}[/tex], since [tex]\large\underline{ \mathtt {9}}[/tex]² = [tex]\large\underline{ \mathtt {81}}[/tex], [tex]\large\underline{ \mathtt {10}}[/tex]² = [tex]\large\underline{ \mathtt {100}}[/tex]
4.) √185 is between [tex]\large\underline{ \mathtt {13}}[/tex] and [tex]\large\underline{ \mathtt {14}}[/tex], since [tex]\large\underline{ \mathtt {13}}[/tex]² = [tex]\large\underline{ \mathtt {169}}[/tex], [tex]\large\underline{ \mathtt {14}}[/tex]² = [tex]\large\underline{ \mathtt {196}}[/tex]
5.) √278 is between [tex]\large\underline{ \mathtt {16}}[/tex] and [tex]\large\underline{ \mathtt {17}}[/tex], since [tex]\large\underline{ \mathtt {16}}[/tex]² = [tex]\large\underline{ \mathtt {256}}[/tex], [tex]\large\underline{ \mathtt {17}}[/tex]² = [tex]\large\underline{ \mathtt {289}}[/tex]
6.) √325 is between [tex]\large\underline{ \mathtt {18}}[/tex] and [tex]\large\underline{ \mathtt {19}}[/tex], since [tex]\large\underline{ \mathtt {18}}[/tex]² = [tex]\large\underline{ \mathtt {324}}[/tex], [tex]\large\underline{ \mathtt {19}}[/tex]² = [tex]\large\underline{ \mathtt {361}}[/tex]
7.) √780 is between [tex]\large\underline{ \mathtt {27}}[/tex] and [tex]\large\underline{ \mathtt {28}}[/tex], since [tex]\large\underline{ \mathtt {27}}[/tex]² = [tex]\large\underline{ \mathtt {729}}[/tex], [tex]\large\underline{ \mathtt {28}}[/tex]² = [tex]\large\underline{ \mathtt {784}}[/tex]
8.) √920 is between [tex]\large\underline{ \mathtt {30}}[/tex] and [tex]\large\underline{ \mathtt {31}}[/tex], since [tex]\large\underline{ \mathtt {30}}[/tex]² = [tex]\large\underline{ \mathtt {900}}[/tex], [tex]\large\underline{ \mathtt {31}}[/tex]² = [tex]\large\underline{ \mathtt {961}}[/tex]
9.) √1350 is between [tex]\large\underline{ \mathtt {36}}[/tex] and [tex]\large\underline{ \mathtt {37}}[/tex], since [tex]\large\underline{ \mathtt {36}}[/tex]² = [tex]\large\underline{ \mathtt {1296}}[/tex], [tex]\large\underline{ \mathtt {37}}[/tex]² = [tex]\large\underline{ \mathtt {1369}}[/tex]
10.) √2800 is between [tex]\large\underline{ \mathtt {52}}[/tex] and [tex]\large\underline{ \mathtt {53}}[/tex], since [tex]\large\underline{ \mathtt {52}}[/tex]² = [tex]\large\underline{ \mathtt {2704}}[/tex], [tex]\large\underline{ \mathtt {53}}[/tex]² = [tex]\large\underline{ \mathtt {2809}}[/tex]
11.) √3280 is between [tex]\large\underline{ \mathtt {57}}[/tex] and [tex]\large\underline{ \mathtt {58}}[/tex], since [tex]\large\underline{ \mathtt {57}}[/tex]² = [tex]\large\underline{ \mathtt {3249}}[/tex], [tex]\large\underline{ \mathtt {58}}[/tex]² = [tex]\large\underline{ \mathtt {3364}}[/tex]
12.) √5000 is between [tex]\large\underline{ \mathtt {70}}[/tex] and [tex]\large\underline{ \mathtt {71}}[/tex], since [tex]\large\underline{ \mathtt {70}}[/tex]² = [tex]\large\underline{ \mathtt {4900}}[/tex], [tex]\large\underline{ \mathtt {71}}[/tex]² = [tex]\large\underline{ \mathtt {5041}}[/tex]
13.) √6550 is between [tex]\large\underline{ \mathtt {80}}[/tex] and [tex]\large\underline{ \mathtt {81}}[/tex], since [tex]\large\underline{ \mathtt {80}}[/tex]² = [tex]\large\underline{ \mathtt {6400}}[/tex], [tex]\large\underline{ \mathtt {81}}[/tex]² = [tex]\large\underline{ \mathtt {6561}}[/tex]
14.) √9000 is between [tex]\large\underline{ \mathtt {94}}[/tex] and [tex]\large\underline{ \mathtt {95}}[/tex], since [tex]\large\underline{ \mathtt {94}}[/tex]² = [tex]\large\underline{ \mathtt {8836}}[/tex], [tex]\large\underline{ \mathtt {95}}[/tex]² = [tex]\large\underline{ \mathtt {9025}}[/tex]
15.) √10500 is between [tex]\large\underline{ \mathtt {102}}[/tex] and [tex]\large\underline{ \mathtt {103}}[/tex], since [tex]\large\underline{ \mathtt {102}}[/tex]² = [tex]\large\underline{ \mathtt {10404}}[/tex], [tex]\large\underline{ \mathtt {103}}[/tex]² = [tex]\large\underline{ \mathtt {10609}}[/tex]
