Asked by Mom
Son brought home a hand made worksheet that teacher did not go over and can't find examples anywhere.
Multiply each expression by its conjugate.
A. Square root of (13)-2
B. 2+3Square root (5)
C. Square root(3) minus Square root(7)
Thanks
Multiply each expression by its conjugate.
A. Square root of (13)-2
B. 2+3Square root (5)
C. Square root(3) minus Square root(7)
Thanks
Answers
Answered by
Reiny
When you multiply a binomial by its conjugate, you are duplicating the pattern of the difference of squares:
a^2 - b^2 = (a+b)(a-b)
so
(sqrt(13) - 2)(sqrt(13) + 2)
= 13 - 4
= 9
(2+3sqrt(5))(2-3sqrt(5))
= 4 - 45
= -41
try the last one, let me know what you get
a^2 - b^2 = (a+b)(a-b)
so
(sqrt(13) - 2)(sqrt(13) + 2)
= 13 - 4
= 9
(2+3sqrt(5))(2-3sqrt(5))
= 4 - 45
= -41
try the last one, let me know what you get
Answered by
Mom
He got 10
Answered by
Reiny
not correct
(sqrt(3) - sqrt(7))(sqrt(3)+sqrt(7))
= 3 - 7
= -4
(sqrt(3) - sqrt(7))(sqrt(3)+sqrt(7))
= 3 - 7
= -4
Answered by
Mom
Thank you
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