Solve 2sqrt{19}2sqrt{3}sqrt{57}

$$2 \sqrt{ 19 } 2 \sqrt{ 3 } \sqrt{ 57 }$$

Evaluate

$$228$$

Solution Steps

Factor 57=19\times 3. Rewrite the square root of the product \sqrt{19\times 3} as the product of square roots \sqrt{19}\sqrt{3}.

$$2\times 2\sqrt{19}\sqrt{3}\sqrt{19}\sqrt{3}$$

Multiply \sqrt{19} and \sqrt{19} to get 19.

$$2\times 2\times 19\sqrt{3}\sqrt{3}$$

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

$$2\times 2\times 19\times 3$$

Multiply 2 and 2 to get 4.

$$4\times 19\times 3$$

Multiply 4 and 19 to get 76.

$$76\times 3$$

Multiply 76 and 3 to get 228.

$$228$$

Factor

$$2^{2}\times 3\times 19$$