Solve 3sqrt{27}-3sqrt{12}je

$$3 \sqrt { 27 } - 3 \sqrt { 12 } j e$$

Evaluate

$$3\sqrt{3}\left(3-2ej\right)$$

Solution Steps

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$3\times 3\sqrt{3}-3\sqrt{12}je$$

Multiply 3 and 3 to get 9.

$$9\sqrt{3}-3\sqrt{12}je$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$9\sqrt{3}-3\times 2\sqrt{3}je$$

Multiply 3 and 2 to get 6.

$$9\sqrt{3}-6\sqrt{3}je$$

Factor

$$3\sqrt{3}\left(3-2ej\right)$$

Solution Steps

Factor out 3.

$$3\left(3\sqrt{3}-2e\sqrt{3}j\right)$$