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27 May 2020, 07:09
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:31) correct
15%
(02:14)
wrong
based on 125
sessions
History
Date
Time
Result
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If \(\sqrt{13 - a√10} = \sqrt{8} + \sqrt{5}\), then find the value of a.
A) +5
B) -6
C) +6
D) -4
E) +7
A) +5
B) -6
C) +6
D) -4
E) +7
27 May 2020, 08:50
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Manasvi1
\(If \sqrt{13 - a√10} = \sqrt{8} + \sqrt{5}\), then find the value of a.
A) +5
B) -6
C) +6
D) -4
E) +7
A) +5
B) -6
C) +6
D) -4
E) +7
Squaring both sides
13-a√10 = 8+5+2*√8*√5
i.e. \(13-a√10 = 13+2*√8*√5\)
i.e. \(-a√10 = 2*√40\)
i.e. \(a = -2*√4 = -4\)
ANswer: Option D
31 May 2020, 11:26
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Manasvi1
If \(\sqrt{13 - a√10} = \sqrt{8} + \sqrt{5}\), then find the value of a.
A) +5
B) -6
C) +6
D) -4
E) +7
A) +5
B) -6
C) +6
D) -4
E) +7
Solution:
Squaring both sides, we have:
13 - a√10 = 8 + 5 + 2√40
-a√10 = 2√40
-a = 2√4
-a = 4
a = -4
Answer: D
