$${\text{If }}\frac{{4\sqrt 3 + 5\sqrt 2 }}{{\sqrt {48} + \sqrt {18} }} = a + b\sqrt 6 {\text{,}}$$ then the value of a and b are respectively? Options: A . &nbsp$$\frac{9}{{15}}, - \frac{4}{{15}}$$ B . &nbsp$$\frac{3}{{11}},\frac{4}{{33}}$$ C . &nbsp$$\frac{9}{{10}},\frac{2}{5}$$ D . &nbsp$$\frac{3}{5},\frac{4}{{15}}$$

$${\text{If }}\frac{{4\sqrt 3 + 5\sqrt 2 }}{{\sqrt {48} + \sqrt {18} }} = a + b\

Question

$${\text{If }}\frac{{4\sqrt 3 + 5\sqrt 2 }}{{\sqrt {48} + \sqrt {18} }} = a + b\sqrt 6 {\text{,}}$$ then the value of a and b are respectively?

Options:

A . $$\frac{9}{{15}}, - \frac{4}{{15}}$$

B . $$\frac{3}{{11}},\frac{4}{{33}}$$

C . $$\frac{9}{{10}},\frac{2}{5}$$

D . $$\frac{3}{5},\frac{4}{{15}}$$

Answer: Option D

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