SOLUTION: Is this equation true or false? 28 � 4*sqrt(2) = 24*sqrt(2). Explain why.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Is this equation true or false? 28 � 4*sqrt(2) = 24*sqrt(2). Explain why.      Log On


   



Question 287046: Is this equation true or false? 28 � 4*sqrt(2) = 24*sqrt(2). Explain why.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is this equation true or false? 28 – 4*sqrt(2) = 24*sqrt(2). Explain why.
-------------------------
28 -4sqrt(2) ? 24sqrt(2)
28-4sqrt(2) is approximately:: 22.3431
24*sqrt(2) is approximately: 33.9411
-----------------------------------
Cheers,
Stan.

Answer by MathTherapy(10898) About Me  (Show Source):
You can put this solution on YOUR website!
Is this equation true or false? 28 � 4*sqrt(2) = 24*sqrt(2).  Explain why.
***************************************************************************
FALSE!!
WHY?
28+-+4sqrt%282%29+%3C%3E+24%2Asqrt%282%29, since 28 and 24sqrt%282%29 are UNLIKE terms. As such, they CANNOT be
COMBINED, as was done here!!

If instead, this was 28sqrt%282%29+-+4sqrt%282%29, matrix%281%2C3%2C+28sqrt%282%29%2C+and%2C+4sqrt%282%29%29 are highlight%28LIKE-TERMS%29, and could
then be COMBINED to get %2828+-+4%29sqrt%282%29 = 24sqrt%282%29.

Capiche?