What is the error in the proof? (proof in details)

100 = 100
10 (10) = (-10)(-10)
#sqrt((10(10)# = #sqrt((-10)(-10)#
10 = -10

1 Answer
Lucy
Jul 24, 2018

Below

Explanation:

There is an error in the last line

In the third line
#sqrt(10(10))=sqrt(-10(-10))#

Remember that #"negative" times " negative" = "positive"#

Hence, #sqrt(10(10))=sqrt(-10(-10))# becomes #sqrt(10(10))=sqrt(10(10))#

therefore, your fourth line should say #10=10#

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