Solve 4*3^2sqrt{3}*5^2sqrt{2}

$$4 \times { 3 }^{ 2 } \sqrt{ 3 } \times { 5 }^{ 2 } \sqrt{ 2 }$$

Evaluate

$$900\sqrt{6}\approx 2204.540768505$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$4\times 9\sqrt{3}\times 5^{2}\sqrt{2}$$

Multiply 4 and 9 to get 36.

$$36\sqrt{3}\times 5^{2}\sqrt{2}$$

Calculate 5 to the power of 2 and get 25.

$$36\sqrt{3}\times 25\sqrt{2}$$

Multiply 36 and 25 to get 900.

$$900\sqrt{3}\sqrt{2}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$900\sqrt{6}$$