Solve 4*sqrt[2]{81}+2*sqrt[3]{-8}-3*sqrt[4]{16}=

$$4 \cdot \sqrt[ 2 ] { 81 } + 2 \cdot \sqrt[ 3 ] { - 8 } - 3 \cdot \sqrt[ 4 ] { 16 } =$$

Evaluate

$$26$$

Solution Steps

Calculate \sqrt[2]{81} and get 9.

$$4\times 9+2\sqrt[3]{-8}-3\sqrt[4]{16}$$

Multiply 4 and 9 to get 36.

$$36+2\sqrt[3]{-8}-3\sqrt[4]{16}$$

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

$$36+2\left(-2\right)-3\sqrt[4]{16}$$

Multiply 2 and -2 to get -4.

$$36-4-3\sqrt[4]{16}$$

Subtract 4 from 36 to get 32.

$$32-3\sqrt[4]{16}$$

Calculate \sqrt[4]{16} and get 2.

$$32-3\times 2$$

Multiply -3 and 2 to get -6.

$$32-6$$

Subtract 6 from 32 to get 26.

$$26$$

Factor

$$2\times 13$$