Solve 75^2*74^2/95^2+57^2sqrt{1444}

$$\frac{ { 75 }^{ 2 } \times { 74 }^{ 2 } }{ { 95 }^{ 2 } + { 57 }^{ 2 } \sqrt{ 1444 } }$$

Evaluate

$$\frac{30802500}{132487}\approx 232.494508895$$

Solution Steps

Calculate 75 to the power of 2 and get 5625.

$$\frac{5625\times 74^{2}}{95^{2}+57^{2}\sqrt{1444}}$$

Calculate 74 to the power of 2 and get 5476.

$$\frac{5625\times 5476}{95^{2}+57^{2}\sqrt{1444}}$$

Multiply 5625 and 5476 to get 30802500.

$$\frac{30802500}{95^{2}+57^{2}\sqrt{1444}}$$

Calculate 95 to the power of 2 and get 9025.

$$\frac{30802500}{9025+57^{2}\sqrt{1444}}$$

Calculate 57 to the power of 2 and get 3249.

$$\frac{30802500}{9025+3249\sqrt{1444}}$$

Calculate the square root of 1444 and get 38.

$$\frac{30802500}{9025+3249\times 38}$$

Multiply 3249 and 38 to get 123462.

$$\frac{30802500}{9025+123462}$$

Add 9025 and 123462 to get 132487.

$$\frac{30802500}{132487}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {4} \cdot 37 ^ {2}}{19 ^ {2} \cdot 367} = 232\frac{65516}{132487} = 232.49450889521236$$