Question

Help, i know the answer but i don’t know how to do the work

Answer 1

C

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying each radical before combining them.

`√(45t)`

=
`√(9(5t))`

=
`√(9)` ×
`√(5t)` = 3
`√(5t)`

-----------------------------------------------------------------------------

`√(125t)`

=
`√(25(5t))`

=
`√(25)` ×
`√(5t)` = 5
`√(5t)`

---------------------------------------------------------------------------

Hence

2(3
`√(5t)`) - 3(5
`√(5t)`

= 6
`√(5t)` - 15
`√(5t)`

= - 9
`√(5t)` → C