Simplify the radical expression.

Question

root of 14q * 2 root of 4q

Answer 1

8q * 2 root of 4q

Answer 2

are you sure on this answer? can you show your work?

Answer 3

Sure! Let's simplify the expression step by step:

√14q * 2√4q

First, let's multiply the coefficients outside the radical:
√14q * 2 = 2√14q

Now, let's simplify the square root of 14q:
√14q = √(2 * 7) * √q = √2√7√q

Finally, substitute this back into the expression:
2√14q = 2√(2 * 7)√q = 2√2√7√q

Therefore, the simplified radical expression is:
2√2√7√q

Answer 4

does that equation even make sense? "2√2√7√q"

Answer 5

I made a mistake in my calculations. Let's go through the simplification of the expression again:

√14q * 2√4q

First, simplify each radical individually:
√14q = √(14q) = √(14) * √q = 2√q
2√4q = 2 * √(4q) = 2 * 2√q = 4√q

Now, multiply the simplified radicals:
2√q * 4√q = 8q

Therefore, the simplified radical expression is 8q.