How do we get (root) 1000 = 10 (root) 10?

[Indranil]

How do we get (root) 1000 = 10 (root) 10? could you show me the steps, please?

 

[Steven G]

How do we get (root) 1000 = 10 (root) 10? could you show me the steps, please?

sqrt(1000) = sqrt(100*10) = sqrt(100)*sqrt(10) = 10*sqrt(10)

 

[Deleted member 4993]

How do we get (root) 1000 = 10 (root) 10? could you show me the steps, please?

Indranil,

Please do not write "root" when you mean "square-root".

There are many of those for number - square-root, cube-root, fourth-root, etc.

"Root of a number" has no meaning in arithmetic.