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X is equal to 7 + 4 root 3 then find the value of x + 1 by X?
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X is equal to 7 + 4 root 3 then find the value of x + 1 by X?
Given:
X = 7 + 4√3
Calculating x + 1:
To find the value of x + 1 by X, we first need to calculate the value of x + 1 and then divide it by X.
Step 1: Calculate x + 1
x + 1 = 7 + 4√3 + 1
x + 1 = 8 + 4√3
Step 2: Calculate the value of x + 1 by X
(x + 1)/X = (8 + 4√3) / (7 + 4√3)
To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator:
(x + 1)/X = [(8 + 4√3) / (7 + 4√3)] * [(7 - 4√3) / (7 - 4√3)]
(x + 1)/X = [56 - 32√3 + 28√3 - 48] / [49 - 48*3]
Simplify the numerator:
(x + 1)/X = (8) / (1)
(x + 1)/X = 8
Conclusion:
Therefore, the value of x + 1 by X is 8.
X = 7 + 4√3
Calculating x + 1:
To find the value of x + 1 by X, we first need to calculate the value of x + 1 and then divide it by X.
Step 1: Calculate x + 1
x + 1 = 7 + 4√3 + 1
x + 1 = 8 + 4√3
Step 2: Calculate the value of x + 1 by X
(x + 1)/X = (8 + 4√3) / (7 + 4√3)
To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator:
(x + 1)/X = [(8 + 4√3) / (7 + 4√3)] * [(7 - 4√3) / (7 - 4√3)]
(x + 1)/X = [56 - 32√3 + 28√3 - 48] / [49 - 48*3]
Simplify the numerator:
(x + 1)/X = (8) / (1)
(x + 1)/X = 8
Conclusion:
Therefore, the value of x + 1 by X is 8.
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X is equal to 7 + 4 root 3 then find the value of x + 1 by X?
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X is equal to 7 + 4 root 3 then find the value of x + 1 by X? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X is equal to 7 + 4 root 3 then find the value of x + 1 by X? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X is equal to 7 + 4 root 3 then find the value of x + 1 by X?.
X is equal to 7 + 4 root 3 then find the value of x + 1 by X? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X is equal to 7 + 4 root 3 then find the value of x + 1 by X? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X is equal to 7 + 4 root 3 then find the value of x + 1 by X?.
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