Question

Which expression is equivalent to StartRoot 200 EndRoot?

2 StartRoot 10 EndRoot
10 StartRoot 2 EndRoot
10 StartRoot 20 EndRoot
100 StartRoot 2 EndRoot

Answer 1

B is the answer

Explanation:

B for e2020

Answer 2

b) √200 = 10√2

Explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Taking ROOT both sides, we get:
`√(200) = \sqrt{(2)^(2) * (5)^(2) * 2}\\\implies √(200) = \sqrt{(2)^(2) } * \sqrt{(5)^(2) } * √((2) ) = 2 * 5 * √(2)\\ = 10 \sqrt {2}\\\implies √(200) = 10 \sqrt {2}`

Hence, √200 = 10√2