Respuesta :

two integers mean numbers that do not have decimals. Whole numbers

to figure out between what two integers get a calculator and do square root 17
which is 4.123 (to three decimal places)

thus it falls between 4 and 5. since it is above 4 and below 5 and there are no integers in between possible.

Hope this helps :P

The two closest integers the square root of 17 falls between are 4 and 5

What is the nature of square root function?

Let we take [tex]y = \sqrt{x}[/tex] for all positive real numbers x.

Then, as we increase x, the value of y increases.

Thus, the square root function is strictly monotonically increasing.

or [tex]x_1 > x_2 \leftrightarrow \sqrt{x_1} > \sqrt{x_2}[/tex]

Now, taking x = 16, 17 and 25 gives us:

[tex]\sqrt{16} < \sqrt{17} < \sqrt{25}\\\\4 < \sqrt{17} < 5[/tex]

We intentionally took such numbers which are perfect squares and are closest to 17 from smaller side and bigger side.

Thus, the two closest integers the square root of 17 falls between are 4 and 5

Learn more about increasing functions here:

https://brainly.com/question/14330051

Otras preguntas