Solve sqrt[3]{125}-sqrt[3]{-3-3/8}sqrt{100}

$$\sqrt[ 3 ]{ 125 } - \sqrt[ 3 ]{ -3- \frac{ 3 }{ 8 } } \sqrt{ 100 }$$

Evaluate

$$20$$

Solution Steps

Calculate \sqrt[3]{125} and get 5.

$$5-\sqrt[3]{-3-\frac{3}{8}}\sqrt{100}$$

Subtract \frac{3}{8} from -3 to get -\frac{27}{8}.

$$5-\sqrt[3]{-\frac{27}{8}}\sqrt{100}$$

Calculate \sqrt[3]{-\frac{27}{8}} and get -\frac{3}{2}.

$$5-\left(-\frac{3}{2}\sqrt{100}\right)$$

Calculate the square root of 100 and get 10.

$$5-\left(-\frac{3}{2}\times 10\right)$$

Multiply -\frac{3}{2} and 10 to get -15.

$$5-\left(-15\right)$$

The opposite of -15 is 15.

$$5+15$$

Add 5 and 15 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$