Solve sqrt{(-16/3)*(-48)}divsqrt[3]{1-7/8}

$$\sqrt { ( - \frac { 16 } { 3 } ) \times ( - 48 ) } \div \sqrt[ 3 ] { 1 - \frac { 7 } { 8 } }$$

Evaluate

$$32$$

Solution Steps

Multiply -\frac{16}{3} and -48 to get 256.

$$\frac{\sqrt{256}}{\sqrt[3]{1-\frac{7}{8}}}$$

Calculate the square root of 256 and get 16.

$$\frac{16}{\sqrt[3]{1-\frac{7}{8}}}$$

Subtract \frac{7}{8} from 1 to get \frac{1}{8}.

$$\frac{16}{\sqrt[3]{\frac{1}{8}}}$$

Calculate \sqrt[3]{\frac{1}{8}} and get \frac{1}{2}.

$$\frac{16}{\frac{1}{2}}$$

Divide 16 by \frac{1}{2} by multiplying 16 by the reciprocal of \frac{1}{2}.

$$16\times 2$$

Multiply 16 and 2 to get 32.

$$32$$

Factor

$$2^{5}$$