Question

Rationalize the denominator !!!

Answer 1

Answer:

x = 4, y = 3, z = 13

Step-by-step explanation:

Multiply the equation by the opposite of the denominator

$\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}$

Answer 2

Answer:

$\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}$

$1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}$

$\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13$

$= \frac{4+\sqrt{3}}{13}$

x = 4

y = 3

z = 13