Simplify the radical expression.
root of 14q * 2 root of 4q
8q * 2 root of 4q
are you sure on this answer? can you show your work?
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
does that equation even make sense? "2√2√7√q"
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.