Question

$$\sqrt{ 55 { x }^{ 3 } +79 { x }^{ 2 } 5x+ }$$

Answer

$$sqrt(450*x^3+1)$$

Solution


Collect like terms.
\[\sqrt{55{x}^{3}+(395{x}^{3}+1)}\]
Remove parentheses.
\[\sqrt{55{x}^{3}+395{x}^{3}+1}\]
Collect like terms.
\[\sqrt{(55{x}^{3}+395{x}^{3})+1}\]
Simplify  \((55{x}^{3}+395{x}^{3})+1\)  to  \(450{x}^{3}+1\).
\[\sqrt{450{x}^{3}+1}\]