Rationalize the denominator and simplify \( \frac{\sqrt{14}-\sqrt{3}}{2 \sqrt{7}-\sqrt{6}} \)

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) ai list three factars.

7. Show that the set F of the six complex valued functions: \( f_{1}(z)=z, f_{2}(z)=\frac{1}{1-z}, f_{3}(z)=\frac{z-1}{z} \) \( f_{4}(z)=\frac{1}{z}, f_{5}(z)=1-z, f_{6}(z)=\frac{z}{z-1} \) is a group under the usual multiplication of mappings.

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) of list three facturs.

\( \sqrt { 5 } \quad \frac { \sqrt[ 3 ] { 5 ^ { x } \cdot 5 ^ { 2 } - x } } { \sqrt { 5 ^ { x + 1 } } } = 2 s ^ { 3 } \sqrt { 5 } \)

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) of list three farturs.