Question

express with rational denominator : 1).√3+1/4+3√3​

Answer 1

By Rationalizing the denominator

$= \frac{ \sqrt{3} + 1 }{4 + \sqrt[3]{3} }$

$= \frac{ \sqrt{3} + 1 }{4 + \sqrt[3]{3} } \times \frac{4 - \sqrt[3]{3} }{4 - \sqrt[3]{3} }$

$= \frac{ \sqrt{3}(4 - \sqrt[3]{3} + (4 - \sqrt[3]{3} }{ {(4)}^{2} - {( \sqrt[3]{3} )}^{2} }$

$= \frac{ \sqrt[4]{3} - 9 + 4 - \sqrt[3]{3} }{16 - 9}$

$= \frac{ \sqrt{3} - 5 }{7}$

Answer 2

Answer:

Hello friend, here's your answer :