Question

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √17 < ____

Answer 1

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality __4__ < √17 < __5__

Answer 2

4 < √17 < 5

Explanation:

Since, the perfect square integers nearer to 17 are 16 and 25,

That is, we can write,

`16 < 17 < 25`

Taking square root,

`\sqrt {16} < √(17) < √(25)`

`4 < √(17) < 5`

Hence, the integers in the given blanks are 4 and 5 respectively.