Question

9) Simplify by rationalizing the denominator
✓7/9 +2✓5​

Answer 1

Answer:

$\frac{ \sqrt{7} }{9 + 2 \sqrt{5} }$

$\frac{ \sqrt{7} }{9 + 2 \sqrt{5} } \times \frac{9 - 2 \sqrt{5} }{9 - 2 \sqrt{5} }$

$\frac{ \sqrt{7} \times 9 -( 2 \sqrt{5)} }{(9)^{2} - (2 \sqrt{5}) ^{2} }$

$\frac{9 \sqrt{7} - 2 \sqrt{5} }{81 - 20}$

$\frac{7 \sqrt{2} }{61}$