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If a=√[5+√(21+a)] b=√[5+√(21-b)] c=√[5-√(21+c)] d=√[5-√(21-d)], then what is the value of abcd?

If a=√[5+√(21+a)] b=√[5+√(21-b)] c=√[5-√(21+c)] d=√[5-√(21-d)], then what is the value of abcd?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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Sorry for not being explicit earlier, I meant:
If a=√[5+√(21+a)]

   b=√[5+√(21-b)]

   c=√[5-√(21+c)]

   d=√[5-√(21-d)],

then what is the value of abcd?

Option 1: 4

Option 2: 5

Option 3: 11

Option 4: 21

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