Solve for a 26=a^3+8

$26 = a^{3} + 8$

Step 1

Rewrite the equation as $a^{3} + 8 = 26$ .

$a^{3} + 8 = 26$

Step 2

Move all terms not containing $a$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$a^{3} = 26 - 8$

Subtract $8$ from $26$ .

$a^{3} = 18$

Step 3

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

$a = \sqrt[3]{18}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \sqrt[3]{18}$

Decimal Form:

$a = 2.62074139 \dots$