Question

Represent $\sqrt{4.5}$ on the number line.

Answer 1

$AB=4.5units,BC=1unit,OC=OD=\frac{5.5}{2}=2.75units$

$O{D}^2=O{B}^2+B{D}^2$

$(\frac{4.5+1}{2}{)}^2=(\frac{4.5+1}{2}-1{)}^2+(BD{)}^2$

$B{D}^2=(\frac{4.5+1}{2}{)}^2-(\frac{4.5-1}{2}{)}^2$

$B{D}^2=4.5$

$BD=\sqrt{4.5}units$

so the length of BD will be the required one so mark an arc of length BD on number line it will result I the required length.