How do you find the answer for between what 2 consective integers are the following square roots of√(200)

Question

how do you find the answer for between what 2 consective integers are the following square roots of
`√(200)`

Answer 1

`\sqrt[]{200}\text{ =14.14 is between 14 and 15}`

`\sqrt[]{7}\text{ = 2.646 is between 2 and 3}`

`\sqrt[]{74\text{ }}=\text{ 8.602 is between 8 and 9}`

`\sqrt[]{116}\text{ = 10.77 between 10 and 11}`

`\sqrt[]{59}\text{ = 7.68 is between 7 and 8}`

`\sqrt[]{47}\text{ = 6.63 is between 6 and 7}`

`\sqrt[]{6\text{ }}\text{ = 2.45 is between 2 and 3}`

`\sqrt[]{23}\text{ = 4.796 is between 4 and 5}`

`\sqrt[]{192\text{ }}=\text{ 13.856 is between 13 and 14}`

`\sqrt[]{84\text{ }}=\text{ 9.165 is between 9 and 10}`