Basic Math Examples

$\sqrt[5]{7 y^{6}} + \sqrt[5]{1701 y} - \sqrt[5]{7}$

Step 1

Rewrite $7 y^{6}$ as $y^{5} \cdot (7 y)$ .

Tap for more steps...

Step 1.1

Factor out $y^{5}$ .

$\sqrt[5]{7 (y^{5} y)} + \sqrt[5]{1701 y} - \sqrt[5]{7}$

Step 1.2

Reorder $7$ and $y^{5}$ .

$\sqrt[5]{y^{5} \cdot 7 y} + \sqrt[5]{1701 y} - \sqrt[5]{7}$

Step 1.3

Add parentheses.

$\sqrt[5]{y^{5} \cdot (7 y)} + \sqrt[5]{1701 y} - \sqrt[5]{7}$

Step 2

Pull terms out from under the radical.

$y \sqrt[5]{7 y} + \sqrt[5]{1701 y} - \sqrt[5]{7}$

Step 3

Rewrite $1701 y$ as $3^{5} \cdot (7 y)$ .

Tap for more steps...

Step 3.1

Factor $243$ out of $1701$ .

$y \sqrt[5]{7 y} + \sqrt[5]{243 (7) y} - \sqrt[5]{7}$

Step 3.2

Rewrite $243$ as $3^{5}$ .

$y \sqrt[5]{7 y} + \sqrt[5]{3^{5} \cdot 7 y} - \sqrt[5]{7}$

Step 3.3

Add parentheses.

$y \sqrt[5]{7 y} + \sqrt[5]{3^{5} \cdot (7 y)} - \sqrt[5]{7}$

Step 4

Pull terms out from under the radical.

$y \sqrt[5]{7 y} + 3 \sqrt[5]{7 y} - \sqrt[5]{7}$