Multiply the left side by: 2√2 / 2√2:
Left side becomes: [√x / (√3x + √2)] · [2√2 / 2√2] = 2√(2x) / [ 2√6x + 4 ]
Now the left side and the right side have the same denominators. For the two sides to be equal, they must have equal numerators: 2√(2x) = 1
---> √(2x) = 1/2 divide by 2
---> 2x = 1/4 square both sides
---> x = 1/8 divide by 2
Multiply the left side by: 2√2 / 2√2:
Left side becomes: [√x / (√3x + √2)] · [2√2 / 2√2] = 2√(2x) / [ 2√6x + 4 ]
Now the left side and the right side have the same denominators. For the two sides to be equal, they must have equal numerators: 2√(2x) = 1
---> √(2x) = 1/2 divide by 2
---> 2x = 1/4 square both sides
---> x = 1/8 divide by 2