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Rationalise the denominator of 8/7-3√5?
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Rationalise the denominator of 8/7-3√5?
To rationalize the denominator of the expression 8/7-3√5, we need to eliminate the square root from the denominator. This can be done by multiplying the numerator and the denominator by the conjugate of the denominator.
Step 1: Identify the Denominator
The denominator of the expression is 7-3√5.
Step 2: Find the Conjugate
The conjugate of 7-3√5 is 7+3√5.
Step 3: Multiply the Numerator and Denominator by the Conjugate
Multiply both the numerator and the denominator of the expression 8/(7-3√5) by the conjugate, which is 7+3√5.
Step 4: Simplify the Expression
The expression after multiplying by the conjugate will be (8*(7+3√5))/(7^2-(3√5)^2).
Step 5: Simplify Further
Simplify the expression further to get the rationalized form of the denominator.
Therefore, the rationalized form of the expression 8/7-3√5 is (56+24√5)/46.
Step 1: Identify the Denominator
The denominator of the expression is 7-3√5.
Step 2: Find the Conjugate
The conjugate of 7-3√5 is 7+3√5.
Step 3: Multiply the Numerator and Denominator by the Conjugate
Multiply both the numerator and the denominator of the expression 8/(7-3√5) by the conjugate, which is 7+3√5.
Step 4: Simplify the Expression
The expression after multiplying by the conjugate will be (8*(7+3√5))/(7^2-(3√5)^2).
Step 5: Simplify Further
Simplify the expression further to get the rationalized form of the denominator.
Therefore, the rationalized form of the expression 8/7-3√5 is (56+24√5)/46.
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Rationalise the denominator of 8/7-3√5?
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Rationalise the denominator of 8/7-3√5? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise the denominator of 8/7-3√5? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise the denominator of 8/7-3√5?.
Rationalise the denominator of 8/7-3√5? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rationalise the denominator of 8/7-3√5? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rationalise the denominator of 8/7-3√5?.
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