Question

Select all irrational numbers.   4√8√10−−√15−−√36−−√

Answer 1

ANSWER

The irrational numbers are
$\sqrt{8}$

$\sqrt{10}$
and

$\sqrt{15}$


EXPLANATION

The irrational numbers are the square root of the non perfect squares.


In oder words, the irrational numbers are the ones, whose square root are not exact.


So we must first simplify the radicals and choose the ones whose values are not exact.



$\sqrt{4} = 2$

This is an exact value, so it is rational.


$\sqrt{8} = 2 \sqrt{2}$
This is irrational because the radicand, 2, is a non perfect square.


$\sqrt{10}$

is also irrational because 10 is a non perfect square.


$\sqrt{15}$
is also irrational because 15 is a non perfect square.


$\sqrt{36} = 6$
is rational because 36 is a perfect square.