Could someone help me learn how to do this?? I will give a medal and fan to whoever help me learn the best!
What is the simplified form of the expression sqrt (16c^4) - sqrt (c^2) + 3sqrt (c^2) + sqrt(9c^2)

Question

Could someone help me learn how to do this?? I will give a medal and fan to whoever help me learn the best!
What is the simplified form of the expression sqrt (16c^4) - sqrt (c^2)  + 3sqrt (c^2) + sqrt(9c^2)

anonymous · Answer

@reemii @sfozturk61 @wmckinely

zzr0ck3r · Answer

sqrt(a*b) = sqrt(a)*sqrt(b) is the whole problem

zzr0ck3r · Answer

and sqrt(c^2) = |c|

zzr0ck3r · Answer

so sqrt(16*c^2) = sqrt(16)sqrt(c^2) = 4sqrt(c^2) = 4|c|

zzr0ck3r · Answer

does this make sense?

zzr0ck3r · Answer

@kyleguitarplayer

anonymous · Answer

Yes it does, keep going please!

zzr0ck3r · Answer

do this for every term you have
4|c|-|c|+3|c|+3|c| = 9|c|

zzr0ck3r · Answer

that's it

anonymous · Answer

4c2 + 5c

 4c2 + 7c

 8c2 + 5c

 8c2 + 7c
Which one of those would you think is the right answer?

zzr0ck3r · Answer

o sorry I read it wrong...

zzr0ck3r · Answer

sqrt (16c^4) - sqrt (c^2)  + 3sqrt (c^2) + sqrt(9c^2)
=
sqrt(16)*sqrt(c^4) -|c| + 3|c| +3|c|
=
4c^2+5|c|

zzr0ck3r · Answer

they have not told you yet that sqrt(c^2) = |c|, they assume it is sqrt(c^2) = c, this is not really the case yet, but they have not showed you why. so A is the correct answer.

anonymous · Answer

Thank you so much!