Given
[tex]\sqrt{500}[/tex]
To Determine: The simplification of the given radicals
Solution
Please note the radicals rule below
[tex]\sqrt{ab}=\sqrt{a\times b}[/tex][tex]\begin{gathered} 500=5\times100 \\ Therefore \\ \sqrt{500}=\sqrt{100\times5} \\ \sqrt{500}=\sqrt{100}\times\sqrt{5} \end{gathered}[/tex]
So,
[tex]\begin{gathered} \sqrt{500}=10\times\sqrt{5} \\ \sqrt{500}=10\sqrt{5} \end{gathered}[/tex]
Hence, the simplification is 10√5
