Solve sqrt{3*46*314*10^7*300/24}

$$\sqrt { \frac { 3 \times 46 \cdot 314 \times 10 ^ { 7 } \times 300 } { 24 } }$$

Evaluate

$$10000\sqrt{54165}\approx 2327337.534609022$$

Solution Steps

Multiply 3 and 46 to get 138.

$$\sqrt{\frac{138\times 314\times 10^{7}\times 300}{24}}$$

Multiply 138 and 314 to get 43332.

$$\sqrt{\frac{43332\times 10^{7}\times 300}{24}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\sqrt{\frac{43332\times 10000000\times 300}{24}}$$

Multiply 43332 and 10000000 to get 433320000000.

$$\sqrt{\frac{433320000000\times 300}{24}}$$

Multiply 433320000000 and 300 to get 129996000000000.

$$\sqrt{\frac{129996000000000}{24}}$$

Divide 129996000000000 by 24 to get 5416500000000.

$$\sqrt{5416500000000}$$

Factor 5416500000000=10000^{2}\times 54165. Rewrite the square root of the product \sqrt{10000^{2}\times 54165} as the product of square roots \sqrt{10000^{2}}\sqrt{54165}. Take the square root of 10000^{2}.

$$10000\sqrt{54165}$$