SOLUTION: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Binomials Containing R
Algebra.Com
Question 178266This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Binomials Containing Radicals
Simplify. Assume that each radical represents a real number.
(√(a-√a) *√(a+√a) )/( √(a-1))
This question is from textbook Algebra and Trigonometry Structure and Method book 2
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Simplify. Assume that each radical represents a real number.
(√(a-√a) *√(a+√a) )/( √(a-1))
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Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's simplify the numerator
Let
Start with the given expression.
Plug in
Combine the roots using the identity
FOIL
Plug in
Square to get "a"
Factor out the GCF "a"
Break up the square root using the identity (this just the reverse of the previous identity)
So the numerator simplifies to
------------------------------------------------
Now let's go back to the main problem:
So the expression
simplifies to
(see steps above)
Highlight the common terms.
Cancel out the common terms.
Simplify
==========================================================
Answer:
So where
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