SOLUTION: (1-√5)(1+√5) show work (:
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Question 582737: (1-√5)(1+√5) show work (:
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Now let's FOIL the expression.
Remember, when you FOIL an expression, you follow this procedure:
Multiply the First terms:.
Multiply the Outer terms:.
Multiply the Inner terms:.
Multiply the Last terms:.
---------------------------------------------------
So we have the terms: , , ,
Now add every term listed above to make a single expression.
Now combine like terms.
Square to get 5.
Subtract
So FOILs and simplifies to .
In other words, .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(1-√5)(1+√5)
---
Use FOIL:
F: 1*1 = 1
O:1*sqrt(5)= sqrt(5)
I:1*-sqrt(5) = -sqrt(5)
L:-sqrt(5)*sqrt(5) = -5
-------------------------------
Combine:
1 + sqrt(5)-sqrt(5)-5
-----
= 1-5
= -4
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Cheers,
Stan H.
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