Simplify the Radical Expression sixth root of 27e^3

$\sqrt[6]{27 e^{3}}$

Step 1

Rewrite $27 e^{3}$ as ${(3 e)}^{3}$ .

$\sqrt[6]{{(3 e)}^{3}}$

Step 2

Rewrite $\sqrt[6]{{(3 e)}^{3}}$ as $\sqrt{\sqrt[3]{{(3 e)}^{3}}}$ .

$\sqrt{\sqrt[3]{{(3 e)}^{3}}}$

Step 3

Pull terms out from under the radical.

$\sqrt{3 e}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3 e}$

Decimal Form:

$2.85566900 \dots$