Solve 2sqrt{8*7}55*6

$$2 \sqrt{ 8 \times 7 } 55 \times 6$$

Evaluate

$$1320\sqrt{14}\approx 4938.987750542$$

Solution Steps

Multiply 2 and 6 to get 12.

$$12\times 55\sqrt{8\times 7}$$

Multiply 12 and 55 to get 660.

$$660\sqrt{8\times 7}$$

Multiply 8 and 7 to get 56.

$$660\sqrt{56}$$

Factor 56=2^{2}\times 14. Rewrite the square root of the product \sqrt{2^{2}\times 14} as the product of square roots \sqrt{2^{2}}\sqrt{14}. Take the square root of 2^{2}.

$$660\times 2\sqrt{14}$$

Multiply 660 and 2 to get 1320.

$$1320\sqrt{14}$$