Question

Need help asap ill give 100 points simplify the radicals

Answer 1

8d
`√(e)`

Explanation:

using the rule of radicals

`√(ab)` =
`√(a)` ×
`√(b)`

given

`√(25d^2e)` -
`√(d^2e)` + 2
`√(4d^2e)`

evaluating each term separately

`√(25d^2e)`

=
`√(25)` ×
`√(d^2)` ×
`√(e)`

= 5 × d ×
`√(e)`

= 5d
`√(e)`

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

`√(d^2e)`

=
`√(d^2)` ×
`√(e)`

= d ×
`√(e)`

= d
`√(e)`

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

`√(4d^2e)`

=
`√(4)` ×
`√(d^2)` ×
`√(e)`

= 2 × d ×
`√(e)`

= 2d
`√(e)`

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

then combining them gives

5d
`√(e)` - d
`√(e)` + 2(2d
`√(e)`)

= 4d
`√(e)` + 4d
`√(e)`

= 8d
`√(e)`