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

Question

100 = 100
10 (10) = (-10)(-10)
$\sqrt{(10 (10)}$ $sqrt((10(10)$ = $\sqrt{(- 10) (- 10)}$ $sqrt((-10)(-10)$
10 = -10

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Answer 1 · 2018-07-24T02:34:48

Below

There is an error in the last line

In the third line
$\sqrt{10 (10)} = \sqrt{- 10 (- 10)}$ $sqrt(10(10))=sqrt(-10(-10))$

Remember that $negative \times negative = positive$ $"negative" times " negative" = "positive"$

Hence, $\sqrt{10 (10)} = \sqrt{- 10 (- 10)}$ $sqrt(10(10))=sqrt(-10(-10))$ becomes $\sqrt{10 (10)} = \sqrt{10 (10)}$ $sqrt(10(10))=sqrt(10(10))$

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