Solve 325sqrt{3}256sqrt{6}

$$325 \sqrt{ 3 } 256 \sqrt{ 6 }$$

Evaluate

$$249600\sqrt{2}\approx 352987.705168325$$

Solution Steps

Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.

$$256\times 325\sqrt{3}\sqrt{3}\sqrt{2}$$

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

$$256\times 325\times 3\sqrt{2}$$

Multiply 256 and 325 to get 83200.

$$83200\times 3\sqrt{2}$$

Multiply 83200 and 3 to get 249600.

$$249600\sqrt{2}$$