Multiply the radical expressions and simplify your answer. $$( \sqrt { 108 } - 1 ) ( \sqrt { 3 } + 5 )$$
A) 13
B) $13 + 29 \sqrt { 3 }$
C) $319 + 5 \sqrt { 108 } - \sqrt { 3 }$
D) $\sqrt { 321 } - 5$

Question

Quizplus · Accepted Answer

To simplify the expression $( \sqrt { 108 } - 1 ) ( \sqrt { 3 } + 5 )$, first simplify $\sqrt{108}$ as $\sqrt{36 \times 3} = 6\sqrt{3}$. Then, distribute the terms: $6\sqrt{3} \times \sqrt{3} + 6\sqrt{3} \times 5 - \sqrt{3} - 5$. Simplifying further gives $18 + 30\sqrt{3} - \sqrt{3} - 5$, which simplifies to $13 + 29\sqrt{3}$.

Multiply the Radical Expressions and Simplify Your Answer (108−1)(3+5)( \sqrt { 108 } - 1 ) ( \sqrt { 3 } + 5 )(108​−1)(3​+5)

Multiply the Radical Expressions and Simplify Your Answer $( \sqrt { 108 } - 1 ) ( \sqrt { 3 } + 5 )$