SOLUTION: okay so how do i simplify the square root of 128? i know it has something to do with prime numbers i was thinking product rule using 4, 2 and sixteen but i am not sure what to do a

Algebra.Com
Question 171504: okay so how do i simplify the square root of 128? i know it has something to do with prime numbers i was thinking product rule using 4, 2 and sixteen but i am not sure what to do after that or how to write it!
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
You started on the right track.

Prime factorization of 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1

So there are 7 factors of 2 that make 128. Put another way,

Also, can be expressed as

Therefore

Let's see if this answer makes sense:

. Yep, that works.

RELATED QUESTIONS

okay so how do i simplify the square root of 128? i know it has something to do with... (answered by stanbon,jim_thompson5910,Mathtut,Alan3354)
okay i dont know how to do the whole typy in htingy but it says "the square root of x+2 (answered by stanbon)
Okay, So i have a Quiz tommorrow and i dont know exactly What to do when it comes to... (answered by ankor@dixie-net.com)
How do I square root (without using a calculator) a number when every time I factor it, I (answered by ccs2011)
how do i do the square root of 5 over 7? I need to simplify... (answered by robertb)
Please can you help me with Operations with Radical Expressions because I don't know how... (answered by jim_thompson5910)
This word problem pertains to "REVENUE". The demand for a certain product is given by... (answered by jaydducote)
How do I explain the answer to this question? I am thinking of two numbers. When they... (answered by vleith)