Simplify 2 sqrt root(5) +3 sqrt root(125) Show all work and steps.

Question

A. cannot be simplified
B. 25 sqrt root(10)
C. 6 sqrt root(170)
D. 24 sqrt root(20)

Answer 1

First, simplify the square roots under the radicals:

2 sqrt(5) = 2√5
3 sqrt(125) = 3√125

Now, simplify the square roots further:
2√5 = 2√(5) = 2√(5) = 2(5) = 10
3√125 = 3√(125) = 3√(5 * 25) = 3(5√25) = 3(5 * 5) = 15 * 5 = 75

Now, add the simplified square roots:
10 + 75 = 85

Therefore, the simplified expression is 85. Answer: A. cannot be simplified.