Question

Simplify the expression.

$\sqrt{48}$$\sqrt{48}$

Short answer

The simplified value is$4\sqrt{3}$$4\sqrt{3}$.

Step-by-step solution

Step 1. Given Information.

The given expression is$\sqrt{48}$$\sqrt{48}$.

Step 2. Calculation.

The expression can be simplified as,

$\begin{array}{c}\sqrt{48}={\left(48\right)}^{\frac{1}{2}}\\ ={(2\times 2\times 2\times 2\times 3)}^{\frac{1}{2}}\\ =(2\times 2)\sqrt{3}\\ =4\sqrt{3}\end{array}$

Step 3. Conclusion.

The simplified value of the given expression is$4\sqrt{3}$$4\sqrt{3}$.