Question

Simplify. $\sqrt{2}$ · $\sqrt{200}$

Answer 1

Answer:

±20

Step-by-step 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

Answer 2

$Answer: \\ \sqrt{2} \times \sqrt{200} = \sqrt{2} \times \sqrt{100 \times 2} \\ = \sqrt{2} \times \sqrt{ {10}^{2} \times 2} = 10 \times \sqrt{2} \times \sqrt{2} \\ = 10 \times { \sqrt{2} }^{2} = 10 \times 2 = 20$