Rationalise 3+√7 3-√7
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Step-by-step explanation:
3+√7/3-√7
by rationalizing we get
(3+√7)× (3+√7)/(3-√7)(3+√7)
= here numerator is in the form of( a+b) ² = a²+b²+2ab and denominator is in the form of (a+b) (a-b) = a²-b²
= (3)²+(√7)²+2×3×√7/(3)²-(√7)²
9+7+6√7/9-7
= 16+6√7/2
taking two common we get
2(8+3√7)/2
the two will cut each other
so ans is 8+3√7
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