Question

Solve the equation V^3=36

Answer 1

`\mathrm{V=\sqrt[3]{36}}`

Explanation:

Determine if 36 is a cube root

(a-b)•(a^2+ab+b^2) =

a^3+a^2b+ab^2-ba^2-b^2a-b^3 =

a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =

a^3+0+0-b^3 =

a^3-b^3

→ Using this checker, we can see that 36 is not a cube root because it cannot be factored as the difference between two perfect cubes.

Solve

v^3 - 36 = 0

v^3 = 36

v = ∛36

Answer 2

V=
`\sqrt[3]{36}`

Alternative Form

V≈3.301927

Evaluate

V

3

=36

Take the 3-th root on both sides of the equation

3

V

3

​

=

3

36

​

hope this helps now