Question

Raticealise the desonitutur of 3/root8-root5​

Answer 1

Answer:

$\sqrt{8} + \sqrt{5}$

Step-by-step explanation:

$\frac{3}{ \sqrt{8} - \sqrt{5} } \\ \frac{3}{ \sqrt{8} - \sqrt{5} } \times \frac{ \sqrt{8} + \sqrt{5} }{ \sqrt{8} + \sqrt{5} } = \frac{3 \sqrt{8} + 3 \sqrt{5} }{ \sqrt{ {8}^{2} - \sqrt{ {5}^{2} } } } \\ = \frac{3 \sqrt{8} + 3 \sqrt{5} }{8 - 5} = \frac{3 \sqrt{8} + 3 \sqrt{5} }{3} so \\ 3 \: is \: common \: in \: both \\ \frac{3( \sqrt{8} + \sqrt{5} )}{3} \\ 3 \: will \: be \: cut \\ ( \sqrt{8} + \sqrt{5}$