Solve sqrt[10]{(5)(6)(7)(7)(12)(12)(13)(13)(15)(15)}

$$\sqrt[ 10 ]{ (5)(6)(7)(7)(12)(12)(13)(13)(15)(15) }$$

Evaluate

$$\sqrt[10]{8049132000}\approx 9.785317125$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\sqrt[10]{30\times 7\times 7\times 12\times 12\times 13\times 13\times 15\times 15}$$

Multiply 30 and 7 to get 210.

$$\sqrt[10]{210\times 7\times 12\times 12\times 13\times 13\times 15\times 15}$$

Multiply 210 and 7 to get 1470.

$$\sqrt[10]{1470\times 12\times 12\times 13\times 13\times 15\times 15}$$

Multiply 1470 and 12 to get 17640.

$$\sqrt[10]{17640\times 12\times 13\times 13\times 15\times 15}$$

Multiply 17640 and 12 to get 211680.

$$\sqrt[10]{211680\times 13\times 13\times 15\times 15}$$

Multiply 211680 and 13 to get 2751840.

$$\sqrt[10]{2751840\times 13\times 15\times 15}$$

Multiply 2751840 and 13 to get 35773920.

$$\sqrt[10]{35773920\times 15\times 15}$$

Multiply 35773920 and 15 to get 536608800.

$$\sqrt[10]{536608800\times 15}$$

Multiply 536608800 and 15 to get 8049132000.

$$\sqrt[10]{8049132000}$$