Question

$$\sqrt{ 459 { x }^{ 3 } +64 { x }^{ 2 } 8x+ }$$

Answer

$$sqrt(971*x^3+1)$$

Solution


Collect like terms.
\[\sqrt{459{x}^{3}+(512{x}^{3}+1)}\]
Remove parentheses.
\[\sqrt{459{x}^{3}+512{x}^{3}+1}\]
Collect like terms.
\[\sqrt{(459{x}^{3}+512{x}^{3})+1}\]
Simplify  \((459{x}^{3}+512{x}^{3})+1\)  to  \(971{x}^{3}+1\).
\[\sqrt{971{x}^{3}+1}\]