Question

Racionalize
A)15/√3
B)√2/√3
C)5/2√3

Answer 1

a) $\dfrac{15}{\sqrt{3}}=\dfrac{15\sqrt{3}}{\sqrt{3}\cdot\sqrt{3}}=\dfrac{15\sqrt{3}}{3}=5\sqrt{3}$

b) $\dfrac{\sqrt{2}}{\sqrt{3}}=\dfrac{\sqrt{2}\cdot\sqrt{3}}{\sqrt{3}\cdot\sqrt{3}}=\dfrac{\sqrt{6}}{3}$

c) $\dfrac{5}{2\sqrt{3}}=\dfrac{5\sqrt{3}}{2\sqrt{3}\cdot\sqrt{3}}=\dfrac{5\sqrt{3}}{2\cdot3}=\dfrac{5\sqrt{3}}{6}$

Answer 2

$A) \frac{15}{ \sqrt{3} } \to \frac{15}{ \sqrt{3} } * \frac{ \sqrt{3} }{ \sqrt{3} } \to \frac{15 \sqrt{3} }{ \sqrt{9} } \to \frac{15\sqrt{3}}{ 3 } \to 5\sqrt{3} \\\\\\\\ B) \frac{ \sqrt{2} }{ \sqrt{3} } \to \frac{ \sqrt{2} }{ \sqrt{3} } * \frac{ \sqrt{3} }{ \sqrt{3} } \to \frac{ \sqrt{6} }{ \sqrt{9} } \to \frac{ \sqrt{6} }{3 }$



$C) \frac{ 5}{ 2\sqrt{3} } \to \frac{ 5 }{ 2\sqrt{3} }*\frac{ 2\sqrt{3} }{ 2\sqrt{3} }\to \frac{ 10\sqrt{3} }{ 2\sqrt{9} }\to \frac{ 10\sqrt{3} }{ 2*3 }\to \frac{ 10\sqrt{3} }{ 6 }\to \frac{ 5\sqrt{3} }{ 3 }$