Simplify \(\sqrt{30}\) \times \(\sqrt{40}\)
A
10 √3
B
5 √3
C
20 √3
D
15 √3
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\sqrt{30}\) \times \(\sqrt{40}\)
= \(\sqrt{(30 \times 40)}\)
\(\sqrt{(3 \times 10 \times 4 \times 10)}\)
\(\sqrt{(400 \times 3)}\)
\(\sqrt{400}\) \times \(\sqrt{3}\)
20 \times \(\sqrt{3}\)
20\(\sqrt{3}\)
Source: Myschool Past Questions Archive (Record #41291)