Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Rationalise the denominator and simplify 56+2-56-2 - Mathematics

Sum

Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`

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Solution

`sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2) = sqrt(5)(1/(sqrt(6) + 2) - 1/(sqrt(6) - 2))`

= `sqrt(5)[(sqrt(6) - 2 - (sqrt(6) + 2))/((sqrt(6) + 2)(sqrt(6) - 2))]`

= `sqrt(5)[(sqrt(6) - 2 - sqrt(6) - 2)/((sqrt(6))^2 - 2^2)]`

= `sqrt(5)((-4)/(6 - 4))`

= `sqrt(5)((-4)/2)`

= `sqrt(5) xx -2`

= `-2 sqrt(5)`

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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 2 Real Numbers
Exercise 2.7 | Q 2. (iv) | Page 70
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