Question

Please help! radicals.
(Check picture)

Answer 1

`10 √(2)`

Explanation:

Simplify.

`2 √(200) \\ = 2 √(100 * 2 ) \: \: \: \: \\ = 2 √(100) * √(2) \\ = 2 * 10 * √(2) \\ = 20 √(2) \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

Now let us solve the given expression.

`2 √(200) - 10 √(2) \\ 20 √(2) - 10 √(2) \\ 10 √(2)`

Answer 2

10√2

Explanation:

You want the simplified form of the radical expression 2√200 -10√2.

Simplification

Radicals are simplified by removing perfect squares from under the radical. Radicals with the same radicand are "like terms" and can be combined.

`2√(200)-10√(2)=2√(10^2\cdot2)-10√(2)\\\\=2\cdot10√(2)-10√(2)=(20-10)√(2)=\boxed{10√(2)}`