Multiply: 2 the square root of 11 • 8 the square root of 22

I understand to multiply 2*8 together and then 11*22 but after that the simplifying is what I don't understand

Question

Multiply: 2 the square root of 11 • 8 the square root of 22

I understand to multiply 2*8 together and then 11*22 but after that the simplifying is what I don't understand

anonymous · Answer

8 the square root of 11 
 10 the square root of 33 
 64 the square root of 22 
 176 the square root of 2 
 these are the answer choices

anonymous · Answer

Yes, you got the first part right. 2*8 and sqrt(11*22) . Which gives you 16sqrt(242)

anonymous · Answer

so then how do I simplify that??

anonymous · Answer

the sqrt(242) can be writen as sqrt(2*11*11)

anonymous · Answer

I know the answer wont be either of the first 2

zzr0ck3r · Answer

$$2\sqrt{11}*8*\sqrt{22}=16\sqrt{11}*\sqrt{2}\sqrt{11}=11*16*\sqrt{2}=176\sqrt{2}$$

anonymous · Answer

so would the answer be $$176\sqrt{2}$$

anonymous · Answer

Yes, thats it

zzr0ck3r · Answer

correct