Solve sqrt[3]{4}-(sqrt{81}divsqrt[3]{27})-sqrt{(-5)^2}

$$\sqrt[ 3 ] { 4 } - ( \sqrt { 81 } \div \sqrt[ 3 ] { 27 } ) - \sqrt { ( - 5 ) ^ { 2 } }$$

Evaluate

$$2^{\frac{2}{3}}-8\approx -6.412598948$$

Solution Steps

Calculate the square root of 81 and get 9.

$$\sqrt[3]{4}-\frac{9}{\sqrt[3]{27}}-\sqrt{\left(-5\right)^{2}}$$

Calculate \sqrt[3]{27} and get 3.

$$\sqrt[3]{4}-\frac{9}{3}-\sqrt{\left(-5\right)^{2}}$$

Divide 9 by 3 to get 3.

$$\sqrt[3]{4}-3-\sqrt{\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$\sqrt[3]{4}-3-\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$\sqrt[3]{4}-3-5$$

Subtract 5 from -3 to get -8.

$$\sqrt[3]{4}-8$$