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Okay... So I have this problem, "Simplify the irrational number √32, then estimate it to two decimal places."

I got the second part which is 5.66, but I don't understand the first part.  I have posted a question like this one before and tried to do what you guys said,but this is what I got.

32 is divisable by 2 so √16*√2.  

But 16 is divisable by 2 so √8*√2

Butttttttt 8 is divisable by 2 also so √4*√2

Butttttttttttttttttttt 4 is divisable by 2 sooooooo √2*√2

and I don't think that is right.

Andddddddddd 2 is divisable by 2 soooooooooooooooo  √1*√1!!!!!

I need help :P

 Jul 9, 2014

Best Answer 

 #2
avatar+118703 
+10

32 is divisable by 2 so √16*√2.  

It is not the 2 that is important here.  It is the 16

32=16*2

If you want to simplify a surd you have to look for a squared number that goes into it.

squared numbers are (don't worry about 1, it is not helpful)

11=1,22=4,32=9,42=16etc1,4,9,16,25,26,49,etc

32=16×2=16×2=42

so it is pulling out the square number that is the important bit!

 Jul 9, 2014
 #1
avatar+130466 
+10

Remember that we can write 32 as 16*2

So.......

√32 = √(16*2) = √16 * √2  = 4√2

 

 Jul 9, 2014
 #2
avatar+118703 
+10
Best Answer

32 is divisable by 2 so √16*√2.  

It is not the 2 that is important here.  It is the 16

32=16*2

If you want to simplify a surd you have to look for a squared number that goes into it.

squared numbers are (don't worry about 1, it is not helpful)

11=1,22=4,32=9,42=16etc1,4,9,16,25,26,49,etc

32=16×2=16×2=42

so it is pulling out the square number that is the important bit!

Melody Jul 9, 2014
 #3
avatar+839 
+5

Thank you both so much! That was really confusing me :P

 Jul 9, 2014

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