Question

Rutionalize
the denominator
12/4√3-√2​

Answer 1

Answer:

$\frac{12 \sqrt{3} + 3 \sqrt{2} }{11}$

Step-by-step explanation:

$\frac{12}{4 \sqrt{3} - \sqrt{2} }$

we can multiplying Numerator and Denomenator by

$4 \sqrt{3 } + \sqrt{2}$

$= \frac{12 \times( 4 \sqrt{3} + \sqrt{2} ) }{(4 \sqrt{3} - 2)(4 \sqrt{3 } + \sqrt{2}) }$

$= \frac{48 \sqrt{3} + 12 \sqrt{2} }{48 - 4}$

$= \frac{48 \sqrt{3} + 12 \sqrt{2} }{44}$

$= \frac{12 \sqrt{3} + 3 \sqrt{2} }{11}$