Question

10x √17 - 3 √34 = 2x√17 + √136

Answer 1

$10x \sqrt{17} -3 \sqrt{34} =2x \sqrt{17} + \sqrt{136} \\ \\ 10x \sqrt{17} -2 \sqrt{17} = \sqrt{136} +3 \sqrt{34} \\ \\ 8 x\sqrt{17} =2 \sqrt{34} +3 \sqrt{34} \\ \\ 8x \sqrt{17} =5 \sqrt{34} \\ \\ x= \frac{5 \sqrt{34} }{8 \sqrt{17} } \\ \\ x= \frac{5( \sqrt{34}\div \sqrt{17} ) }{8} \\ \\ x= \frac{5 \sqrt{34:17} }{8} \\ \\ x= \frac{5 \sqrt{2} }{8} \\ \\ \\ veja~~ \sqrt{136} = \sqrt{2^2.2.17} =2 \sqrt{34}$