45.2k views
2 votes
Simplify each radical expression. Leave in radical form. Show your work √7(√14+√3)

20 POINTS !!!!

2 Answers

7 votes

Answer:

7 sqrt{2} + sqrt{21}

Explanation:

sqrt{7} (sqrt{14} + sqrt{3} )

sqrt{7} * sqrt{14} = 7sqrt{2}

sqrt{7} * sqrt{3} = sqrt{21}

7 sqrt{2} + sqrt{21}

User Luke Xu
by
7.8k points
4 votes
Distribute and multiply separately.

√7 * √14 = √98 (√98 can be fruther broken down into 7√2)

√7 * √3 = √21 (√21 cannot be broken down any further.)

Your final answer should be:

7√42
User Arn
by
8.2k points