Question

Racionaliza os denominantes
7/√11 - √6

Answer 1

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$\frac{7}{ \sqrt{11}- \sqrt{6} } = \\ \\ \frac{7( \sqrt{11}+ \sqrt{6} ) }{( \sqrt{11}- \sqrt{6})( \sqrt{11}+ \sqrt{6} ) } = \\ \\ \frac{7( \sqrt{11}+ \sqrt{6} ) }{( \sqrt{11})^2-( \sqrt{6})^2 } = \\ \\ \frac{7( \sqrt{11}+ \sqrt{6} ) }{11-6} = \\ \\ \frac{7 \sqrt{11} +7 \sqrt{6} }{5}$