SOLUTION: how do you simplify radical 8x squared

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Question 972558: how do you simplify radical 8x squared
Found 2 solutions by lwsshak3, ikleyn:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do you simplify radical 8x squared
√8x^2=√(2*4*x^2)=2x√2

Answer by ikleyn(53875) About Me  (Show Source):
You can put this solution on YOUR website!
.
how do you simplify radical 8x squared
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        @lwsshak3 gives the answer in his post 2x%2Asqrt%282%29.

        This answer is incorrect, and I will explain it below.


In expression  sqrt%288x%5E2%29,  value of x can be positive or negative (or zero).

Expression  sqrt%288x%5E2%29  makes sense and is defined for both positive and/or negative values of x.

Also, according to the common agreement, square root of a number is understood in a middle school as a positive value.

THEREFORE,  the correct answer to the problem's question is   2%2Aabs%28x%29%2Asqrt%282%29.

It works universally for positive and negative values of  'x',
while expression  2x%2Asqrt%282%29  gives a negative value for negative  'x',  which contradicts to the common agreement.

This question/problem is a standard  highlight%28highlight%28TRAP%29%29,  and almost all
unfortunate newcomers, who are not familiar with this explanation,  fall into this trap.


The percentage of these unfortunate newcomers is about  99.999%,  I think,  or even more than that.