Evaluate: sqrt(18)(sqrt(2)+(sqrt(18))/(18))

Expression: $\sqrt{ 18 }\left( \sqrt{ 2 }+\frac{ \sqrt{ 18 } }{ 18 } \right)$

Simplify the radical expression

$3\sqrt{ 2 }\left( \sqrt{ 2 }+\frac{ \sqrt{ 18 } }{ 18 } \right)$

Simplify the radical expression

$3\sqrt{ 2 }\left( \sqrt{ 2 }+\frac{ 3\sqrt{ 2 } }{ 18 } \right)$

Cancel out the common factor $3$

$3\sqrt{ 2 }\left( \sqrt{ 2 }+\frac{ \sqrt{ 2 } }{ 6 } \right)$

Calculate the sum

$3\sqrt{ 2 } \times \frac{ 7\sqrt{ 2 } }{ 6 }$

Cancel out the greatest common factor $3$

$\sqrt{ 2 } \times \frac{ 7\sqrt{ 2 } }{ 2 }$

Calculate the product

$\frac{ 14 }{ 2 }$

Cancel out the common factor $2$

$7$