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

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

Evaluate

$$12\sqrt{5}\approx 26.83281573$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Calculate 4 to the power of 2 and get 16.

$$\sqrt{9\times 16\times 5}$$

Multiply 9 and 16 to get 144.

$$\sqrt{144\times 5}$$

Multiply 144 and 5 to get 720.

$$\sqrt{720}$$

Factor 720=12^{2}\times 5. Rewrite the square root of the product \sqrt{12^{2}\times 5} as the product of square roots \sqrt{12^{2}}\sqrt{5}. Take the square root of 12^{2}.

$$12\sqrt{5}$$