Question

Can you help me simplify the square root of 500?

Answer 1

Given

`√(500)`

To Determine: The simplification of the given radicals

Solution

Please note the radicals rule below

`√(ab)=√(a* b)`
`\begin{gathered} 500=5*100 \\ Therefore \\ √(500)=√(100*5) \\ √(500)=√(100)*√(5) \end{gathered}`

So,

`\begin{gathered} √(500)=10*√(5) \\ √(500)=10√(5) \end{gathered}`

Hence, the simplification is 10√5