Given expression: 2√(3)+√(3)Factor out √(3) and simplify:[ 2√(3)+√(3) = √(3)(2+1); = √(3)(3); = 3√(3) ...

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Cube Root Using Prime Factorisation

Simplify 2√3+...

Question

Simplify $2 \sqrt{3} + \sqrt{3}$ .

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Solution

Given expression: $2 \sqrt{3} + \sqrt{3}$
Factor out $\sqrt{3}$ and simplify:
$\begin{array}{rcl} 2 \sqrt{3} + \sqrt{3} & = & \sqrt{3} (2 + 1) \\ = & \sqrt{3} (3) \\ = & 3 \sqrt{3} \end{array}$
Hence, $2 \sqrt{3} + \sqrt{3} i s 3 \sqrt{3}$ .

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