Question

Rationlize √3-5√2/√3+2

Answer 1

Answer:

$\frac{ \sqrt{3} - 5 \sqrt{2} }{ \sqrt{3} + 2 } = \frac{ \sqrt{3} - 5 \sqrt{2} }{ \sqrt{3} + 2} \times \frac{ \sqrt{3 } - 2}{ \sqrt{3} - 2} \\ = \frac{ \sqrt{3} ( \sqrt{3} - 5 \sqrt{2} ) - 2( \sqrt{3} - 5 \sqrt{2} )}{ (\sqrt{3}) {}^{2} - 2 {}^{2} } \\ = \frac{3 - 5 \sqrt{6} - 2 \sqrt{3} + 10 \sqrt{2} }{3 - 4} \\ = \frac{3 - 5 \sqrt{6} - 2 \sqrt{3} + 10 \sqrt{2} }{ - 1} \\ = - 3 + 5 \sqrt{6} + 2 \sqrt{3} - 10 \sqrt{2}$

Answer 2

Answer:

the answer is : 14.33333333333333