Question 621451
Is this the problem?
{{{ root( 3,x^2 + 2 ) = 3 }}}
If so,
Cube both sides
{{{ ( root( 3,x^2 + 2 ))^3 = 3^3 }}}
{{{ x^2 + 2 = 27 }}}
Subtract {{{ 2 }}} from both sides
{{{ x^2 = 25 }}}
Take the square root of both sides
{{{ x = 5 }}}
----------
check answer:
{{{ root( 3,x^2 + 2 ) = 3 }}}
{{{ root( 3,5^2 + 2 ) = 3 }}}
{{{ root( 3, 27) = 3 }}}
Cube both sides
{{{ 27 = 27 }}}
OK