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If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2?
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If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2?
Given Information:
(a b) : (ab)1/2 = 4.1
To Find:
Value of [a/b)1/2 * (b/a]1/2
Solution:
- Step 1: Let's simplify the given ratio first.
(a b) : (ab)1/2 = 4.1
This can be rewritten as (ab) : (ab)1/2 = 4.1
Which simplifies to ab^(1/2) : b^(1/2) = 4.1
- Step 2: Now, we need to find the value of [a/b)1/2 * (b/a]1/2
Let's break this down:
[a/b)1/2 = (a/b)^(1/2) = a^(1/2) / b^(1/2)
(b/a]1/2 = (b/a)^(1/2) = b^(1/2) / a^(1/2)
- Step 3: Now, we can substitute the values of a^(1/2) / b^(1/2) and b^(1/2) / a^(1/2) from the ratio obtained above.
[a/b)1/2 * (b/a]1/2 = (ab^(1/2) / b^(1/2)) * (b^(1/2) / a^(1/2))
= a / b
Therefore, the value of [a/b)1/2 * (b/a]1/2 is equal to a/b.
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If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2?
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If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2?.
If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (a+b) : (ab)1/2=4.1 , find the value of [a/b)1/2 +(b/a]1/2?.
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