What is √(14q) x 2 √(4q) ? Can you show me how you got it

Question

What is √(14q) x 2 √(4q)  ? Can you show me how you got it

anonymous · Answer

@jim_thompson5910  help?

jim_thompson5910 · Answer

$$\large \sqrt{14q}\times 2\sqrt{4q}$$


$$\large 2\sqrt{14q}\times\sqrt{4q}$$


$$\large 2\sqrt{14q*4q}$$


$$\large 2\sqrt{56q^2}$$


$$\large 2\sqrt{14*4q^2}$$


$$\large 2\sqrt{4q^2*14}$$


$$\large 2\sqrt{4q^2}*\sqrt{14}$$


I'll let you finish up

anonymous · Answer

$$2\sqrt{56q ^{2}}$$ ?

jim_thompson5910 · Answer

i already have that step (see line 4)

jim_thompson5910 · Answer

but notice how I moved on from it (so that means that it's not completely simplified there)

anonymous · Answer

I dont understand how to do more then that. sorry

jim_thompson5910 · Answer

how would you simplify $$\large \sqrt{4q^2}$$

anonymous · Answer

2q?

jim_thompson5910 · Answer

good

jim_thompson5910 · Answer

$$\large \sqrt{14q}\times 2\sqrt{4q}$$


$$\large 2\sqrt{14q}\times\sqrt{4q}$$


$$\large 2\sqrt{14q*4q}$$


$$\large 2\sqrt{56q^2}$$


$$\large 2\sqrt{14*4q^2}$$


$$\large 2\sqrt{4q^2*14}$$


$$\large 2\sqrt{4q^2}*\sqrt{14}$$


$$\large 2*2q*\sqrt{14}$$


$$\large 4q*\sqrt{14}$$


and that's all we can do

anonymous · Answer

thanks!

jim_thompson5910 · Answer

np