Example 19 - Chapter 1 Class 9 Number Systems

Last updated at December 16, 2024 by

Example 19 - Rationalise the denominator of 1/(7+3 root 2) - Examples

part 2 - Example 19 - Examples - Serial order wise - Chapter 1 Class 9 Number Systems

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Example 19 Rationalize the denominator of 1/(7 + 3āˆš2 ). 1/(7 + 3āˆš2 ) = 1/(7 + 3āˆš2) Ɨ (šŸ• āˆ’ šŸ‘āˆššŸ)/(šŸ• āˆ’ šŸ‘āˆššŸ) = (7 āˆ’ 3āˆš2)/(7 + 3āˆš2)(7 āˆ’ 3āˆš2) = (7 āˆ’ 3āˆš2)/((šŸ•)^šŸ āˆ’ (šŸ‘āˆššŸ)^šŸ ) = (7 āˆ’ 3āˆš2)/(49 āˆ’ (3 Ɨ 3 Ɨ āˆš2 Ɨ āˆš2) ) = (7 āˆ’ 3āˆš2)/(49 āˆ’ (9 Ɨ 2) ) ( As (a + b)(a ā€“ b) = a2 ā€“ b2 ) = (7 āˆ’ 3āˆš2)/(49 āˆ’ 18) = (šŸ• āˆ’ šŸ‘āˆššŸ)/šŸ‘šŸ

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