Question

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

LaTeX: \sqrt{\frac{9}{4}}9 4

LaTeX: \sqrt{5}5

LaTeX: 2.52.5

LaTeX: \frac{5}{3}

Answer 1

`\sqrt{(9)/(4)}`
`(5)/(3)`
`√(5)`
`2.5`

Explanation:

Given

`\sqrt{(9)/(4)}`

`√(5)`

2.5

`(5)/(3)`

Required

Order from least to greatest

Start by simplifying each expression

`\sqrt{(9)/(4)}`

Split square root

`(√(9))/(√(4))`

Take square root of numerator and denominator

`(3)/(2)`

`1.5`

Hence

`\sqrt{(9)/(4)} = 1.5`

-----------------------------------------------------------

`√(5)`

`√(5) = 2.2361` (Approximated)

-----------------------------------------------------------

`2.5`

-----------------------------------------------------------

`(5)/(3)`

`(5)/(3) = 1.6667`

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

`\sqrt{(9)/(4)}`
`(5)/(3)`
`√(5)`
`2.5`