Question

7. Divide (3+√7) by (3-√7).​

Answer 1

Step-by-step explanation:

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Answer 2

The answer will be $8 + 3 \sqrt{7}$

Step-by-step explanation:

$\frac{(3 + \sqrt{7} )}{(3 - \sqrt{7})}$

$\frac{(3 + \sqrt{7} )(3 + \sqrt{7} )}{(3 - \sqrt{7})(3 + \sqrt{7} ) }$

$\frac{(3 + \sqrt{7} )^{2} }{(3)^{2} - ( \sqrt{7} )^{2} }$

$\frac{(3)^{2} + 2 \times 3 \times \sqrt{7} + {( \sqrt{7} })^{2} }{9 - 7}$

$\frac{9 + 7 + 6 \sqrt{7} }{2}$

$\frac{16 + 6 \sqrt{7} }{2}$

$\frac{2(8 + 3 \sqrt{7} )}{2}$

$8 + 3 \sqrt{7}$