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18 Nov 2023, 07:07
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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:
25%
(medium)
Question Stats:
76% (01:46) correct
24%
(02:03)
wrong
based on 234
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(|√3-2|+|3-√2|+|5+√3|+|1-√2|\)?
A. 0
B. 2√2
C. 2√3
D. 9
E. 11
A. 0
B. 2√2
C. 2√3
D. 9
E. 11
18 Nov 2023, 17:53
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Bunuel
|x| = x → x is positive
|x| = -x → x is negative
- √3-2 ⇒ negative, as √3 \(\approx 1.732\). Therefore |√3-2| = -(√3-2) = 2-√3
- 3-√2 ⇒ positive. Therefore |3-√2| = 3-√2
- 5+√3 ⇒ positive. Therefore |3-√2| = 5+√3
- 1-√2 ⇒ negative. Therefore |1-√2| = -(1-√2) = √2-1
\(|√3-2|+|3-√2|+|5+√3|+|1-√2|\)
= \(2 - \sqrt{3} + 3 - \sqrt{2} + 5+\sqrt{3}+ \sqrt{2} - 1\)
= \(9\)
Option D
General Discussion
18 Nov 2023, 16:01
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BY approximation i find answer D: 9
sqrt(3) approx = 1.7
sqrt(2) approx = 1.4
plug in these values by always taking the positive of the values and you will find 9
sqrt(3) approx = 1.7
sqrt(2) approx = 1.4
plug in these values by always taking the positive of the values and you will find 9
