Correct Answer: A
Explanation:
Explanation: Answer is A.
In Column A expand the indicated product by using the foil method or some other method. Thus, the product of
(1-√ 2 )(1-√ 2 )=1-√ 2 -√ 2 +(√ 2 )(√ 2 )
=1-2√ 2 +√ 4
=1-2√ 2 +2
=3-2√ 2
which is positive.
similarly, in column B one expands the indicated product to get
(1-√ 2 )(1+√ 2 )=1-√ 2 +√ 2 -(√ 2 )(√ 2 )
=1-√ 4
=1-2
=-1
Thus, the quantity in Column A is larger. Any positive number is larger than any negative number.