Question

rationalise the denominator of each of the following
$(3) \div \sqrt{3} + \sqrt{5} - \sqrt{2}$
please solve it a step-by-step it's urgent 15 points question ​

Answer 1

Answer:

$\frac{3(3\sqrt{2}-2\sqrt{3}-\sqrt{30} )}{34}$

Step-by-step explanation:

1. $\frac{3}{\sqrt{3}+ {\sqrt{5} -\sqrt{2}  }}$
2. $\frac{3}\sqrt{3} +\sqrt{5} -\sqrt{2}$*$\frac{\sqrt{3} +\sqrt{5}+\sqrt{2}  }{\sqrt{3}+\sqrt{5}+\sqrt{2}  }$
3. $\frac{3\sqrt{3}+3\sqrt{5}+3\sqrt{2}}{(\sqrt{3}+\sqrt{5} )²-(\sqrt{2} )² }$
4. $\frac{\sqrt{27}+\sqrt{45}+\sqrt{18} }{(\sqrt{3})²+(\sqrt{5})²+2*\sqrt{3*\sqrt{5} }-(\sqrt{2} )² }$
5. $\frac{\sqrt{27} +\sqrt{45} +\sqrt{18} }{3+5+2\sqrt{3}*\sqrt{5} -2 }$
6. $\frac{\sqrt{27}+\sqrt{45}+\sqrt{18}}{6+2\sqrt{15} } *\frac{6-2\sqrt{15} }{6-2\sqrt{15} }$
7. $\frac{18\sqrt{3} +18\sqrt{5}+18\sqrt{2}-18\sqrt{5}-30\sqrt{3} -6\sqrt{30} }{(6)²-(2\sqrt{15} )²}$
8. $\frac{18\sqrt{2}-12\sqrt{2}-6\sqrt{30} }{36+2*16}$
9. $\frac{18\sqrt{2}-12\sqrt{3}-6\sqrt{30} }{68}$              6 is common in all then
10. $\frac{6(3\sqrt{2}-2\sqrt{3}-\sqrt{30} )}{68}$
11. $\frac{3(3\sqrt{2}-2\sqrt{3}-\sqrt{30})}{34}$