QuestionAugust 25, 2025

Multiply and simplify the following radical expressions. (sqrt (3)-1)(sqrt (3)+5) square Answer 2 Points

Multiply and simplify the following radical expressions. (sqrt (3)-1)(sqrt (3)+5) square Answer 2 Points
Multiply and simplify the following radical expressions. (sqrt (3)-1)(sqrt (3)+5) square Answer 2 Points

Solution
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Answer

2 Explanation 1. Apply the Difference of Squares Formula Use (a-b)(a+b) = a^2 - b^2 where a = \sqrt{3} and b = 1. 2. Calculate a^2 and b^2 a^2 = (\sqrt{3})^2 = 3, b^2 = 1^2 = 1. 3. Substitute and Simplify Substitute into the formula: 3 - 1 = 2.

Explanation

1. Apply the Difference of Squares Formula<br /> Use $(a-b)(a+b) = a^2 - b^2$ where $a = \sqrt{3}$ and $b = 1$.<br />2. Calculate $a^2$ and $b^2$<br /> $a^2 = (\sqrt{3})^2 = 3$, $b^2 = 1^2 = 1$.<br />3. Substitute and Simplify<br /> Substitute into the formula: $3 - 1 = 2$.
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