Question

Rationalise the denominator
3+ root 7/3- root 7

Answer 1

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Answer 2

Solution :

(3+√7)/(3-√7)

=[(3+√7)(3+√7)]/[(3-√7)(3+√7)]

= (3+√7)²/[3²-(√7)²]

= [3²+(√7)²+2×3×√7]/[9-7]

= ( 9+7+6√7)/2

= (16+6√7)/2

= [2(8+3√7)]/2

= 8+√3

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