Beom5
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Without using a calculator, fill in the blanks with two consecutive integers to complete the in equality

Without using a calculator fill in the blanks with two consecutive integers to complete the in equality class=

Respuesta :

Answer:

[tex]\sqrt{16} < \sqrt{17} < \sqrt{18}[/tex]

Step-by-step explanation:

Paounn

Answer:

[tex]4 < \sqrt{17} < 5[/tex]

Step-by-step explanation:

Mumble. The square root is something called "monotonic", which means that [tex]a > b \Leftrightarrow \sqrt a > \sqrt b[/tex]

A neat trick to solve this will be: go back from 17 till you find a perfect square, then add 1 to it:

In our case it's easy to do it, since the number before 17 is a perfect square already ([tex]16=4^2[/tex]), so we can pick it as the lower bound, and then add 1 to the base to find the next one ([tex]4+1= 5)[/tex]