Question

Simplfy √2 (4√8-3√10)
A. -2
B. 16-6√5
C. 10√5
D. 4-3√10

Answer 1

Hi,

Answer B

Explanation:

Here is my answer:

`√(2) *(4√(8) -3√(10) )\\\\=4*√(16)-3*√(20) \\\\=4*4-6*√(5) \\\\\boxed{=16-6*√(5)} \\`

AI-generated answer

To simplify the expression √2 (4√8-3√10), we can apply the distributive property.

Step 1: Distribute the √2 to each term inside the parentheses.

4√8 becomes 4√(2*4) = 4√(8) = 4√(2^3) = 4(2√2) = 8√2.

3√10 remains as 3√10.

Step 2: Combine the like terms.

The expression becomes 8√2 - 3√10.

Therefore, the simplified form of √2 (4√8-3√10) is 8√2 - 3√10.

None of the provided answer choices match this simplified form.

Conclusion: don't trush AI