Question

rationalize the denomination 5/2√8​

Answer 1

$=\frac{5}{2 \sqrt{8} }$

$= \frac{5}{2 \sqrt{8} } \times \frac{2 \sqrt{8} }{2 \sqrt{8} }$

$= \frac{5 \times (2 \sqrt{8}) }{ ({2 \sqrt{8} })^{2} }$

$= \frac{5 \times (2 \sqrt{8}) }{ ({2})^{2} + 2 \times 2 \times \sqrt{8} + ({ \sqrt{8} })^{2} }$

$= \frac{5 \times (2 \sqrt{8}) }{4 + 4 \sqrt{8} + 8}$

$= \frac{5}{14}$