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rationalise the denominator of 1/√7-3 Related: Additional Question An...
Solution:
To rationalize the denominator of 1/√7-3, we need to eliminate the radical from the denominator. Here are the steps:
Step 1: Rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.
The conjugate of √7-3 is √7+3. Therefore, we can multiply both the numerator and denominator by √7+3 to eliminate the radical from the denominator.
1/√7-3 * (√7+3)/(√7+3)
Step 2: Simplify the expression.
1/√7-3 * (√7+3)/(√7+3) = (√7+3)/((√7)^2-3^2)
= (√7+3)/(7-9)
= -(√7+3)/2
Therefore, the rationalized form of 1/√7-3 is -(√7+3)/2.
To rationalize the denominator of 1/√7-3, we need to eliminate the radical from the denominator. Here are the steps:
Step 1: Rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.
The conjugate of √7-3 is √7+3. Therefore, we can multiply both the numerator and denominator by √7+3 to eliminate the radical from the denominator.
1/√7-3 * (√7+3)/(√7+3)
Step 2: Simplify the expression.
1/√7-3 * (√7+3)/(√7+3) = (√7+3)/((√7)^2-3^2)
= (√7+3)/(7-9)
= -(√7+3)/2
Therefore, the rationalized form of 1/√7-3 is -(√7+3)/2.
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rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System?
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rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System?.
rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for rationalise the denominator of 1/√7-3 Related: Additional Question Answers- Number System?.
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