Question

find the value of x,
$\rm\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}}=x$
​

Answer 1

suppose if x=3

√3+2√3+2√3+2√3×3

√3+2√3+2√3+2√9

√3+2√3+2√3+2×3

√3+2√3+2√3+6

√3+2√3+2√9

√3+2√3+2×3

√3+2√3+6

√3+2√9

√3+2×3

√3+6

√9=3

Hence,x=3