can someone correct my math...thanks...
Perform the indicated multiplication. Then simplify each radical expression.
Problem#4
radical(13) times radical (5)
My answer: radical (15)
Problem #28
radical (7) (2radical(3)+3radical(7))
MY answer: 2radical(21) + 21
No on first one. sqrt(5*13).
yes on second.
To correct your math in the first problem, you need to multiply the radicals, not add them. The correct approach is to multiply the numbers inside the radicals: √13 * √5 = √(13 * 5) = √65. So, the correct answer is √65, not √15.
In the second problem, you correctly identified that you need to distribute the √7 to both terms inside the parentheses. Applying the distributive property, you get: √7 * (2√3 + 3√7) = 2√(7*3) + 3√(7*7) = 2√21 + 3√49.
Note that √49 equals 7, not 21. So, the final simplified expression is 2√21 + 3 * 7 = 2√21 + 21. Therefore, your answer of 2√21 + 21 is correct for the second problem.