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A
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Difficulty:
55%
(hard)
Question Stats:
67% (01:56) correct
33%
(02:31)
wrong
based on 764
sessions
History
Date
Time
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What is the value of \((\sqrt{9-\sqrt{65}}- \sqrt{9+\sqrt{65}})^2\)?
A. 10
B. \(\sqrt{65}\)
C. \(18-5\sqrt{13}\)
D. 18
E. \(18+5\sqrt{13}\)
A. 10
B. \(\sqrt{65}\)
C. \(18-5\sqrt{13}\)
D. 18
E. \(18+5\sqrt{13}\)
27 Sep 2023, 12:55
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To simplify I let x = SQRT (65)
See image for explanation.
See image for explanation.
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07 Jul 2021, 02:18
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taha1234
\((\sqrt{9-\sqrt{65}}- \sqrt{9+\sqrt{65}})^2 =\)
\(=(\sqrt{9-\sqrt{65}})^2 -2*(\sqrt{9-\sqrt{65}})(\sqrt{9+\sqrt{65}}) + (\sqrt{9+\sqrt{65}})^2 =\)
\(=(9-\sqrt{65}) -2*(\sqrt{9^2-\sqrt{65}^2}) + (9+\sqrt{65}) =\)
\(=18 -2*(\sqrt{81-65})=18-8=10\)
Answer: A.
