Question

simplify the radical expression

Answer 1

\[\sqrt{14q} * 2 \sqrt{4q}\]

Answer 2

my guess for the answer is


\[4 \sqrt{14q^2}\]

Answer 3

better not to /guess/ :)

here you need to make use of the rule:\[\sqrt{a}\times\sqrt{b}=\sqrt{a\times b}\]

Answer 4

in this particular case, you spotted that \(\sqrt{4}=2\) and combined it with the 2 outside the square root to give you the 4 in your /guess/
that is correct

Answer 5

however, notice that you are left with a \(q^2\) inside the square root

Answer 6

can you see how to simplify it further?

Answer 7

according to what you said.. i think the answer would be

\[4q \sqrt{14}\]

Answer 8

perfect! :)

Answer 9

yay!! :D

Thanks for you help :)

Answer 10

yw :)