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

Answer:

4 < √17 < 5

Step-by-step explanation:

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

That is, we can write,

$16 < 17 < 25$

Taking square root,

$\sqrt {16} < \sqrt{17} < \sqrt{25}$

$4 < \sqrt{17} < 5$

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