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

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

Evaluate

$$24\sqrt{5}\approx 53.66563146$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Calculate 4 to the power of 3 and get 64.

$$\sqrt{9\times 64\times 5}$$

Multiply 9 and 64 to get 576.

$$\sqrt{576\times 5}$$

Multiply 576 and 5 to get 2880.

$$\sqrt{2880}$$

Factor 2880=24^{2}\times 5. Rewrite the square root of the product \sqrt{24^{2}\times 5} as the product of square roots \sqrt{24^{2}}\sqrt{5}. Take the square root of 24^{2}.

$$24\sqrt{5}$$