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1. Find the value of a and b ~
5+2√3 / 7+4√3 = a - b√3?
5+2√3 / 7+4√3 = a - b√3?
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1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3?
Given Expression:
5 + 2√3 / 7 + 4√3
Solution:
Step 1: Rationalizing the Denominator
To simplify the expression, we need to rationalize the denominator. Multiply both the numerator and the denominator by the conjugate of the denominator.
(5 + 2√3)(7 - 4√3) / (7 + 4√3)(7 - 4√3)
Step 2: Simplifying the Expression
Expanding the numerator and the denominator, we get:
= (35 - 20√3 + 14√3 - 24) / (49 - 16*3)
= (11 - 6√3) / 1
= 11 - 6√3
Step 3: Comparing with the Given Expression
We have:
a = 11
b = 6
Therefore, the value of a is 11 and the value of b is 6.
5 + 2√3 / 7 + 4√3
Solution:
Step 1: Rationalizing the Denominator
To simplify the expression, we need to rationalize the denominator. Multiply both the numerator and the denominator by the conjugate of the denominator.
(5 + 2√3)(7 - 4√3) / (7 + 4√3)(7 - 4√3)
Step 2: Simplifying the Expression
Expanding the numerator and the denominator, we get:
= (35 - 20√3 + 14√3 - 24) / (49 - 16*3)
= (11 - 6√3) / 1
= 11 - 6√3
Step 3: Comparing with the Given Expression
We have:
a = 11
b = 6
Therefore, the value of a is 11 and the value of b is 6.
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1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3?
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1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3?.
1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. Find the value of a and b ~5+2√3 / 7+4√3 = a - b√3?.
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