Answer:
see explanation
Step-by-step explanation:
using the rules of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{\frac{a}{b} }[/tex] ⇔ [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]
then
[tex]\sqrt{500}[/tex]
= [tex]\sqrt{100(5)}[/tex]
= [tex]\sqrt{100}[/tex] × [tex]\sqrt{5}[/tex]
= 10 × 2.24
= 22.4
-------------------------------
[tex]\sqrt{0.5}[/tex]
= [tex]\sqrt{\frac{50}{100} }[/tex]
= [tex]\frac{\sqrt{50} }{\sqrt{100} }[/tex]
= [tex]\frac{\sqrt{50} }{10}[/tex]
= [tex]\frac{7.07}{10}[/tex]
= 0.707
