Solve sqrt{2*3*3*3}

$$\sqrt { 2 \cdot 3 \cdot 3 \cdot 3 }$$

Evaluate

$$3\sqrt{6}\approx 7.348469228$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\sqrt{6\times 3\times 3}$$

Multiply 6 and 3 to get 18.

$$\sqrt{18\times 3}$$

Multiply 18 and 3 to get 54.

$$\sqrt{54}$$

Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.

$$3\sqrt{6}$$