Solve sqrt[2]{12^2}*sqrt{34^3}

$$\sqrt[ 2 ] { 12 ^ { 2 } } \times \sqrt { 34 ^ { 3 } }$$

Evaluate

$$408\sqrt{34}\approx 2379.028373097$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\sqrt[2]{144}\sqrt{34^{3}}$$

Calculate \sqrt[2]{144} and get 12.

$$12\sqrt{34^{3}}$$

Calculate 34 to the power of 3 and get 39304.

$$12\sqrt{39304}$$

Factor 39304=34^{2}\times 34. Rewrite the square root of the product \sqrt{34^{2}\times 34} as the product of square roots \sqrt{34^{2}}\sqrt{34}. Take the square root of 34^{2}.

$$12\times 34\sqrt{34}$$

Multiply 12 and 34 to get 408.

$$408\sqrt{34}$$