Solve {sqrt[3]{-8}+9[sqrt[2]{26}+7(5-12)]}=

$$\{ \sqrt[ 3 ] { - 8 } + 9 [ \sqrt[ 2 ] { 26 } + 7 ( 5 - 12 ) ] \} =$$

Evaluate

$$9\sqrt{26}-443\approx -397.108824378$$

Solution Steps

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

$$-2+9\left(\sqrt[2]{26}+7\left(5-12\right)\right)$$

Subtract 12 from 5 to get -7.

$$-2+9\left(\sqrt[2]{26}+7\left(-7\right)\right)$$

Multiply 7 and -7 to get -49.

$$-2+9\left(\sqrt[2]{26}-49\right)$$

Use the distributive property to multiply 9 by \sqrt[2]{26}-49.

$$-2+9\sqrt[2]{26}-441$$

Subtract 441 from -2 to get -443.

$$-443+9\sqrt[2]{26}$$