Solve 4sqrt{100-19}:(5sqrt[3]{0,027})=

$$4 \sqrt { 100 - 19 } : ( 5 \sqrt[ 3 ] { 0,027 } ) =$$

Evaluate

$$24$$

Solution Steps

Subtract 19 from 100 to get 81.

$$\frac{4\sqrt{81}}{5\sqrt[3]{0,027}}$$

Calculate the square root of 81 and get 9.

$$\frac{4\times 9}{5\sqrt[3]{0,027}}$$

Multiply 4 and 9 to get 36.

$$\frac{36}{5\sqrt[3]{0,027}}$$

Calculate \sqrt[3]{0,027} and get \frac{3}{10}.

$$\frac{36}{5\times \frac{3}{10}}$$

Multiply 5 and \frac{3}{10} to get \frac{3}{2}.

$$\frac{36}{\frac{3}{2}}$$

Divide 36 by \frac{3}{2} by multiplying 36 by the reciprocal of \frac{3}{2}.

$$36\times \frac{2}{3}$$

Multiply 36 and \frac{2}{3} to get 24.

$$24$$

Factor

$$3\times 2^{3}$$