Solve for: 4sqrt(48)

Expression: $4\sqrt{ 48 }$

Write the expression as a product where the root of one of the factors can be evaluated

$4\sqrt{ 16 \times 3 }$

Write the expression in exponential form with the base of $4$

$4\sqrt{ {4}^{2} \times 3 }$

The root of a product is equal to the product of the roots of each factor

$4\sqrt{ {4}^{2} }\sqrt{ 3 }$

Reduce the index of the radical and exponent with $2$

$4 \times 4\sqrt{ 3 }$

Calculate the product

$\begin{align*}&16\sqrt{ 3 } \\&\approx27.71281\end{align*}$