Simplify the radical expression. show how you got your answer

root of 14q times 2 root of 4q

√14q * 2√4q

First, simplify the square roots:

√14q = √(2*7*q) = √2√7q

2√4q = 2√(2*2*q) = 2 * 2√q

Now multiply the simplified expressions:

√2√7q * 2 * 2√q

= 4√2 * 2√7q

= 8√14q

are you sure the answer isnt 4 root of 14q^2?

Apologies for the mistake in my previous response. Let's simplify the expression again.

√14q * 2√4q

√(14q) * 2√(4q)

√(14)√(q) * 2√(4)√(q)

√(14)√(4)√(q) * 2√(q)

2√(56q) * √(q)

2√(56q^2)

Simplified expression: 2√(56q^2)