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

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

Evaluate

$$-96\sqrt{2}\approx -135.764501988$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Calculate 4 to the power of 5 and get 1024.

$$-\sqrt{9\times 1024\times 2}$$

Multiply 9 and 1024 to get 9216.

$$-\sqrt{9216\times 2}$$

Multiply 9216 and 2 to get 18432.

$$-\sqrt{18432}$$

Factor 18432=96^{2}\times 2. Rewrite the square root of the product \sqrt{96^{2}\times 2} as the product of square roots \sqrt{96^{2}}\sqrt{2}. Take the square root of 96^{2}.

$$-96\sqrt{2}$$