+0  
 
+3
499
0
avatar

hey guys.I am confuse in solving square root of negative number.  well ,please anwser the following question.Thank you!

1.  square root of a ,can a be negative number?

2. can  square root of a(a<0) apply to the fomula  "square root of a  times square root of b equal to square root of ab"?that mean does square root of a (a<0) times square root of b (b<0) eqaual to square root of ab?

3,square root of a's square equal to?

 situation 1 when a>0           square root of a 's square =a

situation 2  when  a<0 or =0  su=quare root of a ,s square =-a

is that right?

4 same thing for (square root of a )'s  square

when a >0 (square root of a )'s  square =a

when a<0 or =0 (square root of a )'s  square =-a ( i see this in my ninth grade pratice book)

 5 but squarre root of -1= i  and  i^2=-1

that mean (square root of a )'s  square =a when  a <0  that is why I confuse

6 like question square root of (a+6)'s  square 

square root of (a+6)'s  square  =square root of (a+6)'s  square =a+6

square root of (a+6)'s  square =square root of (a+6)(a+6)=square root of (-1)*(-a-6)*(-1)*(-a-6)=square root of (-a-6)^2=-a-6

 

 

please help me !

 
 Nov 25, 2014

1 Online Users