Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Rationalise the denominator and simplify 53+23+2 - Mathematics

Sum

Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`

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Solution

`(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2)) = ((5sqrt(3) + sqrt(2))(sqrt(3) - sqrt(2)))/((sqrt(3) + sqrt(2))(sqrt(3) - sqrt(2))`

= `(5(3) - 5sqrt(3) xx sqrt(2) + (sqrt(2)sqrt(3) - (2)))/((sqrt(3))^2 - (sqrt(2))^2`

= `(15 - 5sqrt(6) + sqrt(6) - 2)/(3 - 2)`

= `(13 - 4sqrt(6))/1`

= `13 - 4sqrt(6)`

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APPEARS IN

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