Solve frac{sqrt{56^2-46^2}}{025*sqrt{10}}

$$\frac { \sqrt { 56 ^ { 2 } - 46 ^ { 2 } } } { 025 \cdot \sqrt { 10 } }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 56 to the power of 2 and get 3136.

$$\frac{\sqrt{3136-46^{2}}}{0\times 25\sqrt{10}}$$

Calculate 46 to the power of 2 and get 2116.

$$\frac{\sqrt{3136-2116}}{0\times 25\sqrt{10}}$$

Subtract 2116 from 3136 to get 1020.

$$\frac{\sqrt{1020}}{0\times 25\sqrt{10}}$$

Factor 1020=2^{2}\times 255. Rewrite the square root of the product \sqrt{2^{2}\times 255} as the product of square roots \sqrt{2^{2}}\sqrt{255}. Take the square root of 2^{2}.

$$\frac{2\sqrt{255}}{0\times 25\sqrt{10}}$$

Multiply 0 and 25 to get 0.

$$\frac{2\sqrt{255}}{0\sqrt{10}}$$

Anything times zero gives zero.

$$\frac{2\sqrt{255}}{0}$$

Divide 2\sqrt{255} by 0 to get \text{Indeterminate}\sqrt{255}.

$$\text{Indeterminate}\sqrt{255}$$

Factor

$$\text{Indeterminate}$$