Question

Order the numbers from least to greatest. 1=least and 4=greatest

Answer 1

Answer:

$\sqrt{\frac{9}{4}}$       $\frac{5}{3}$         $\sqrt{5}$       $2.5$

Step-by-step explanation:

Given

$\sqrt{\frac{9}{4}}$

$\sqrt{5}$

2.5

$\frac{5}{3}$

Required

Order from least to greatest

Start by simplifying each expression

$\sqrt{\frac{9}{4}}$

Split square root

$\frac{\sqrt{9}}{\sqrt{4}}$

Take square root of numerator and denominator

$\frac{3}{2}$

$1.5$

Hence

$\sqrt{\frac{9}{4}} = 1.5$

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$\sqrt{5}$

$\sqrt{5} = 2.2361$ (Approximated)

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$2.5$

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$\frac{5}{3}$

$\frac{5}{3} = 1.6667$

Considering the simplified expression; the number from least to greatest is:

$\sqrt{\frac{9}{4}}$       $\frac{5}{3}$         $\sqrt{5}$       $2.5$