Answer:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{4}}[/tex]
[tex]\sqrt{5}[/tex]
2.5
[tex]\frac{5}{3}[/tex]
Required
Order from least to greatest
Start by simplifying each expression
[tex]\sqrt{\frac{9}{4}}[/tex]
Split square root
[tex]\frac{\sqrt{9}}{\sqrt{4}}[/tex]
Take square root of numerator and denominator
[tex]\frac{3}{2}[/tex]
[tex]1.5[/tex]
Hence
[tex]\sqrt{\frac{9}{4}} = 1.5[/tex]
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[tex]\sqrt{5}[/tex]
[tex]\sqrt{5} = 2.2361[/tex] (Approximated)
-----------------------------------------------------------
[tex]2.5[/tex]
-----------------------------------------------------------
[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3} = 1.6667[/tex]
Considering the simplified expression; the number from least to greatest is:
[tex]\sqrt{\frac{9}{4}}[/tex] [tex]\frac{5}{3}[/tex] [tex]\sqrt{5}[/tex] [tex]2.5[/tex]
