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vagabundo [1.1K]
3 years ago
11

Which expression is equivalent to StartRoot 200 EndRoot?

Mathematics
2 answers:
Verdich [7]3 years ago
5 0

Answer:

b)  √200 = 10√2

Step-by-step 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:\sqrt{200}  = \sqrt{(2)^{2}  \times (5)^{2}  \times  2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times  \sqrt{(2) }  = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200}  =  10 \sqrt {2}

Hence,   √200 = 10√2

borishaifa [10]3 years ago
5 0

Answer:

B is the answer

Step-by-step explanation:

B for e2020

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