Question

Simplify 2 sqrt root(5) +3 sqrt root(125)
A. 5 sqrt root(5)
B. 5 sqrt root(45)
C. 5 sqrt root(5x)
D. 17 sqrt root(5)

Answer 1

Show all work and steps.

Answer 2

you just said B a second ago

Answer 3

B. 5 sqrt root(45)

Answer 4

First, let's simplify the square root of 125:

sqrt(125) = sqrt(25 * 5) = sqrt(5) * 5 = 5sqrt(5)

Now, the expression becomes:

2sqrt(5) + 3sqrt(125) = 2sqrt(5) + 3(5sqrt(5))

Now multiply 3 by 5sqrt(5):

2sqrt(5) + 15sqrt(5)

Now combine like terms:

2sqrt(5) + 15sqrt(5) = 17sqrt(5)

Therefore, the simplified expression is 17sqrt(5).

So, the correct answer is D. 17sqrt(5).

Answer 5

I apologize for the mistake. The correct simplified expression is:

2sqrt(5) + 3sqrt(125) = 2sqrt(5) + 3 * 5sqrt(5) = 2sqrt(5) + 15sqrt(5) = 17sqrt(5)

Therefore, the correct answer is D. 17sqrt(5).