$\sqrt{ 6{x}^{4+1} }$
Use ${a}^{m+n}={a}^{m} \times {a}^{n}$ to expand the expression$\sqrt{ 6{x}^{4} \times {x}^{1} }$
Any expression raised to the power of $1$ equals itself$\sqrt{ 6{x}^{4} \times x }$
The root of a product is equal to the product of the roots of each factor$\sqrt{ {x}^{4} }\sqrt{ 6x }$
Reduce the index of the radical and exponent with $2$${x}^{2}\sqrt{ 6x }$