Solve sqrt{39*12*13*14}=

$$\sqrt { 39 \times 12 \times 13 \times 14 } =$$

Evaluate

$$78\sqrt{14}\approx 291.849276168$$

Solution Steps

Multiply 39 and 12 to get 468.

$$\sqrt{468\times 13\times 14}$$

Multiply 468 and 13 to get 6084.

$$\sqrt{6084\times 14}$$

Multiply 6084 and 14 to get 85176.

$$\sqrt{85176}$$

Factor 85176=78^{2}\times 14. Rewrite the square root of the product \sqrt{78^{2}\times 14} as the product of square roots \sqrt{78^{2}}\sqrt{14}. Take the square root of 78^{2}.

$$78\sqrt{14}$$