Solve sqrt[3]{16*3750*10^3/3,14*30}

$$\sqrt[ 3 ] { \frac { 16 \times 3750 \times 10 ^ { 3 } } { 3,14 \times 30 } }$$

Evaluate

$$\frac{100\sqrt[3]{100}\times 157^{\frac{2}{3}}}{157}\approx 86.039943369$$

Solution Steps

Cancel out 2\times 15 in both numerator and denominator.

$$\sqrt[3]{\frac{8\times 250\times 10^{3}}{3,14}}$$

Multiply 8 and 250 to get 2000.

$$\sqrt[3]{\frac{2000\times 10^{3}}{3,14}}$$

Calculate 10 to the power of 3 and get 1000.

$$\sqrt[3]{\frac{2000\times 1000}{3,14}}$$

Multiply 2000 and 1000 to get 2000000.

$$\sqrt[3]{\frac{2000000}{3,14}}$$

Expand \frac{2000000}{3,14} by multiplying both numerator and the denominator by 100.

$$\sqrt[3]{\frac{200000000}{314}}$$

Reduce the fraction \frac{200000000}{314} to lowest terms by extracting and canceling out 2.

$$\sqrt[3]{\frac{100000000}{157}}$$