Question

What is the smallest integer greater than the square root of 44

Answer 1

7

Explanation:

We need
`√(44) < x`, where x is the unknown integer.

To make this easier, we can square both sides:

44 <
`x^(2)`

To aid here, recall values of low integers squared:

`1^(2)` = 1,
`2^(2)` = 4, ...
`6^(2)` = 36,
`7^(2)` = 49

7 is the first integer where its square is greater than 44.

Therefore 7 is the first integer greater than the square root of 44.