Simplify. √(2) · √(200)

Question

Simplify.
`√(2)` ·
`√(200)`

Answer 1

`Answer: \\ √(2) * √(200) = √(2) * √(100 * 2) \\ = √(2) * \sqrt{ {10}^(2) * 2} = 10 * √(2) * √(2) \\ = 10 * { √(2) }^(2) = 10 * 2 = 20`

Answer 2

±20

Explanation:

sqrt(2) * sqrt(200)

We know that sqrt(a) * sqrt(b)= sqrt(ab)

sqrt(400)

We know that 20*20 = 400

sqrt(400)

±20