# How do you order the following from least to greatest sqrt(7/2), sqrt11, -sqrt16, -3.3, -sqrt36?

Jun 5, 2017

$- \sqrt{36} \text{ "-sqrt16" "-3.3" "sqrt(7/2)" } - \sqrt{6}$

#### Explanation:

The numbers are impossible to compare as they are because they are all in different forms.

Convert them all to decimals first.

$\text{ "sqrt(7/2)" "sqrt11" "-sqrt16" "-3.3" } - \sqrt{36}$
$= 1.8708 \text{ "=3.3166" "= -4" "= -3.3" } = - 6$

Now arrange them in order from smallest to biggest:

$- 6 \text{ "-4" "-3.3" "1.8708" } 3.3166$

Give the answers in their original form:

$- \sqrt{36} \text{ "-sqrt16" "-3.3" "sqrt(7/2)" } - \sqrt{6}$