How do you simplify #sqrt(a^2)#?
2 Answers
Apr 15, 2018
Refer to the explanation.
Explanation:
law of indices :
Hope this helps :)
Apr 15, 2018
See below.
Explanation:
To be more accurate,
Let's consider two cases:
Case 1:
#a>0# Let
#a = 3# . Then#sqrt (a^2) = sqrt(3^2) = sqrt 9 = 3 = a# .
In this case,#sqrt (a^2) = a# .Case 2:
#a<0# Let
#a = -3# . Then#sqrt (a^2) = sqrt ((-3)^2) = sqrt 9 = 3 != a# . In this case,#sqrt (a^2) != a# . However, it does equal#abs a# because#abs (-3) = 3# .
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