UPSC Exam > UPSC Questions > Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;...
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Simplify d√a√a√a√a for α = 316/15
(α) 0;
(b) 2;
(c) 3;?
(α) 0;
(b) 2;
(c) 3;?
Most Upvoted Answer
Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;?
Explanation:
Simplifying d√a√a√a√a:
- d√a√a√a√a can be simplified as d(a^(1/2))(a^(1/2))(a^(1/2))(a^(1/2)) = da^(1/2+1/2+1/2+1/2) = da^(2) = da^2
Substitute α = 316/15:
- Now, substitute α = 316/15 in the simplified expression: d(316/15)^2
- d(316/15)^2 = d(99856/225) = (99856d)/225
Options:
(a) 0:
- If α = 0, substituting in the expression gives 0. Therefore, the answer is 0.
(b) 2:
- If α = 2, substituting in the expression gives (99856*2)/225 = 887712/225. This is not equal to 2, so the answer is not 2.
(c) 3:
- If α = 3, substituting in the expression gives (99856*3)/225 = 1331568/225. This is not equal to 3, so the answer is not 3.
Therefore, the simplified expression for d√a√a√a√a for α = 316/15 is (99856d)/225.
Simplifying d√a√a√a√a:
- d√a√a√a√a can be simplified as d(a^(1/2))(a^(1/2))(a^(1/2))(a^(1/2)) = da^(1/2+1/2+1/2+1/2) = da^(2) = da^2
Substitute α = 316/15:
- Now, substitute α = 316/15 in the simplified expression: d(316/15)^2
- d(316/15)^2 = d(99856/225) = (99856d)/225
Options:
(a) 0:
- If α = 0, substituting in the expression gives 0. Therefore, the answer is 0.
(b) 2:
- If α = 2, substituting in the expression gives (99856*2)/225 = 887712/225. This is not equal to 2, so the answer is not 2.
(c) 3:
- If α = 3, substituting in the expression gives (99856*3)/225 = 1331568/225. This is not equal to 3, so the answer is not 3.
Therefore, the simplified expression for d√a√a√a√a for α = 316/15 is (99856d)/225.
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Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;?
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Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;?.
Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify d√a√a√a√a for α = 316/15(α) 0;(b) 2;(c) 3;?.
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