Solve 12^-2sqrt{1*44}

$${ 12 }^{ -2 } \sqrt{ 1 \cdot 44 }$$

Evaluate

$$\frac{\sqrt{11}}{72}\approx 0.046064233$$

Solution Steps

Calculate 12 to the power of -2 and get \frac{1}{144}.

$$\frac{1}{144}\sqrt{1\times 44}$$

Multiply 1 and 44 to get 44.

$$\frac{1}{144}\sqrt{44}$$

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$\frac{1}{144}\times 2\sqrt{11}$$

Multiply \frac{1}{144} and 2 to get \frac{1}{72}.

$$\frac{1}{72}\sqrt{11}$$