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What is the following product (√14 - √3)?

a. √11
b. √33
c. √14 - √3
d. √17 - √3

1 Answer

2 votes

Final answer:

The product of (√14 - √3) simplifies to √14 - √3. OPTION C

Step-by-step explanation:

To find the product of (√14 - √3), we use the distributive property of multiplication over addition/subtraction.

(√14 - √3) * (√14 - √3) = √14 * √14 - √14 * √3 - √3 * √14 + √3 * √3

Expanding the expression gives us: 14 - 2√42 + 3

Combining like terms, we get: 17 - 2√42

Since √42 cannot be simplified further as it does not have a perfect square factor in the root, the expression (√14 - √3) remains as the final result. Hence, the correct answer is c) √14 - √3.

User Gene Lim
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