Question

if 2root 3 - root 5 /4 root 3 - 3 root 5 =x - root 15y, find the value of x and y​

Answer 1

Answer:

$\frac{2 \sqrt{3} - \sqrt{5} }{4 \sqrt{3} - 3 \sqrt{5} } \times \frac{4 \sqrt{3} + 3 \sqrt{5} }{4 \sqrt{3} + 3 \sqrt{5} } \\ \frac{(2 \sqrt{3} - 3 \sqrt{5})(4 \sqrt{3} + 3 \sqrt{5})}{ {(4 \sqrt{3}) }^{2} - {(3 \sqrt{5} }^{2}) } \\ \frac{(2 \sqrt{3} - 3 \sqrt{5})(4 \sqrt{3} + 3 \sqrt{5})}{48 - 45} \\ \frac{ (2 \sqrt{3} - 3 \sqrt{5})(4 \sqrt{3} + 3 \sqrt{5} )}{3} \\ \frac{8(3) + 6( \sqrt{15} ) - 12( \sqrt{15} ) - 9(5)}{3} \\ \frac{24 - 6 \sqrt{15} -45 }{3}$

$- \frac{(6 \sqrt{15} + 21) }{3} \\ - \frac{3(2 \sqrt{15} + 7)}{3} \\ - (2 \sqrt{15} + 7) \\ - 7 - 2 \sqrt{15}$

Step-by-step explanation:

so

x= -7

y=2