can someone help me with simplifying radicals? I don't understand it from my book and need help with these questions. It would help if someone explained. √14q x 2√4q

Question

anonymous · Answer

√63x^15y^9/7xy^11 can someone help me do this cause i kinda get this one but my answers don't add up right.

jhannybean · Answer

$$\sqrt{14} * 2\sqrt{4}$$ in order to simplify this, you need to see how you can simplify sqrt 14 and sq rt 4 to the maximum

anonymous · Answer

2√56q i think thats what you want right?

jhannybean · Answer

yes :)

jhannybean · Answer

Are you confused on simplifying radical 56?

anonymous · Answer

yes !

jhannybean · Answer

okay, so you have have to break the 56 into simpler multipliers so that you can factor them out, can you name some multipliers of 56?

anonymous · Answer

14 and 4

jhannybean · Answer

okay, so by rewriting 56 as 14*4, we get $$2\sqrt{14*4q}$$ we can further simplify this as $$2\sqrt{7*2*2*2}$$

jhannybean · Answer

Now for every pair of 2 OFTHE SAME numbers, you can pull one out and multiply it to the 2 outside the radical :)

anonymous · Answer

So 4√14 ?

jhannybean · Answer

Mmhmm :)

anonymous · Answer

what about the q

jhannybean · Answer

oh, and variables such as q work the same way.So because we don't have a pair of q's, the q will stay inside the radical! :)

jhannybean · Answer

and WAH LA!~ you have your answer ^_^

anonymous · Answer

wait so 4q√14 ? or other way?

anonymous · Answer

never mind i got it

jhannybean · Answer

oh okay

jhannybean · Answer

And @jim_thompson5910  can helpyou with the second question you posted :)

jim_thompson5910 · Answer

still need help? your question looks answered, but I'm not sure