Simplify. 12/ √8 - √2?
Or it is written like this so you understand it better. :))
__12___
√8 - √2
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Or it is written like this so you understand it better. :))
__12___
√8 - √2
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Verified answer
12
-------------
√8 - √2
12
----------------
√4√2 - √2
12
--------------
2√2 - √2
12
------
√2
12√2
---------
√2√2
12√2
---------
2
6√2
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6â2
12/ (â8 - â2)=
12/(2â2 - â2)=
12/â2
multiply by â2/â2
(12â2)/2=
6â2
â8 - â2 = â(2*4) - â2 = 2â2 - â2 = â2
So,
12/ (â8 - â2) = 12/â2 = (12â2)/2 = 6â2
12/(sqrt(6)) = (6*2)/sqrt(6)
= (sqrt(6)sqrt(6)) * 2 /sqrt(6)
= 2sqrt(6) (ans)