Question

Select the correct answer

Which expression is equivalent to 4x²√5¹ - 3√5x8, if x #0?
.
OA. 12x¹0 √5
B. 6028
O C.
35218
O D. 72¹0√5

Answer 1

To simplify the given expression, apply the properties of exponents and radicals to combine like terms and get the final simplified expression. The correct answer is (4x² - 24x)√5, similar to option A.

Step-by-step explanation:

To simplify the expression
4x²√5¹ - 3√5x8
We need to understand the properties of exponents and radicals.

1. Let's start by simplifying √(5¹) which is equal to √5.
   So, we have 4x²√5 - 3√5x8.
2. Next, we can distribute the multiplication: 3√5x8 = 24√5x.
   So, we have 4x²√5 - 24√5x.
3. Now, we can combine like terms: 4x²√5 - 24√5x = (4x² - 24x)√5.
   So, the simplified expression is (4x² - 24x)√5.

Therefore, the correct answer is (4x² - 24x)√5, which is similar to option A.
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