Question

The product of
`√(6)`and 10
`√(12)`in simplest radical form

Answer 1

The product of the next expression in the simplest radical form is:

`√(6)\cdot10\cdot√(12)=√(6)\cdot10\cdot√(2^2\cdot3)=√(6)\cdot10\cdot2\cdot√(3)`

Then

`√(6)\cdot20\cdot√(3)=20\cdot√(6\cdot3)=20\cdot√(3^2\cdot2)=20\cdot3\cdot√(2)=60\cdot√(2)`

Then, in the simplest radical form, the given expression can be rewritten as:

`√(6)\cdot10\cdot√(12)=60\cdot√(2)`