Respuesta :

√500= √10^2 * 5

√10^2 *5 = 10√5

Final answer: 10√5

Answer:

The radical expression is 10√5.

Step-by-step explanation:

A radical expression is an expression that contains a radical (√) symbol.

Given expression is,

[tex]\sqrt{500}[/tex]

[tex]=\sqrt{100\times 5}[/tex]  

[tex]=\sqrt{100}\times 5[/tex]   [tex](\sqrt{ab}=\sqrt{a}\times \sqrt{b} )[/tex]

[tex]=10\sqrt{5}[/tex]                 ( √100 = 10 )

Since, the expression is the simplified form of the given expression that contains the radical symbol.

Hence, the answer is 10√5.