SOLUTION: I'm supposed to express in simpest radical form. (square root of 3 minus square root of 5)(square root of 3 minus square root of 5). Would you use the problem solving technique o

Algebra ->  Radicals -> SOLUTION: I'm supposed to express in simpest radical form. (square root of 3 minus square root of 5)(square root of 3 minus square root of 5). Would you use the problem solving technique o      Log On


   



Question 87950This question is from textbook algebra structure and method
: I'm supposed to express in simpest radical form.
(square root of 3 minus square root of 5)(square root of 3 minus square root of 5).
Would you use the problem solving technique of (a-b)*(a+b)=asquare-bsquarePlease help!!
Thanks!!!
This question is from textbook algebra structure and method

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
express in simpest radical form.
(square root of 3 minus square root of 5)(square root of 3 minus square root of 5).
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(sqrt3 - sqt5)(sqrt3 - sqrt5)
Use FOIL to get:
F: sqrt3*sqrt3 = 3
O: -sqrt5*sqrt3 = -sqrt15
I: -sqrt3*sqrt5 = sqrt 15
L: sqrt5*sqrt5 = 5
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Combine these to get:
8 - 2sqrt15
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The form you could use here is (a-b)(a-b)=a^2-2ab+b^2
This is called "the square of a binomial".
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Cheers,
Stan H.