Solve 5sqrt{13}2sqrt{3}sqrt{39}

$$5 \sqrt{ 13 } 2 \sqrt{ 3 } \sqrt{ 39 }$$

Evaluate

$$390$$

Solution Steps

Factor 39=13\times 3. Rewrite the square root of the product \sqrt{13\times 3} as the product of square roots \sqrt{13}\sqrt{3}.

$$2\times 5\sqrt{13}\sqrt{3}\sqrt{13}\sqrt{3}$$

Multiply \sqrt{13} and \sqrt{13} to get 13.

$$2\times 5\times 13\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$2\times 5\times 13\times 3$$

Multiply 2 and 5 to get 10.

$$10\times 13\times 3$$

Multiply 10 and 13 to get 130.

$$130\times 3$$

Multiply 130 and 3 to get 390.

$$390$$

Factor

$$2\times 3\times 5\times 13$$