Solve frac{(0.03)^{2}+(0.75)^{2}+(0.091)^2}{(0.003)^2+(0.075)^2+(0.0091)^2}

$$\frac { ( 0.03 ) ^ { 2 } + ( 0.75 ) ^ { 2 } + ( 0.091 ) ^ { 2 } } { ( 0.003 ) ^ { 2 } + ( 0.075 ) ^ { 2 } + ( 0.0091 ) ^ { 2 } }$$

Evaluate

$$100$$

Solution Steps

Calculate 0.03 to the power of 2 and get 0.0009.

$$\frac{0.0009+0.75^{2}+0.091^{2}}{0.003^{2}+0.075^{2}+0.0091^{2}}$$

Calculate 0.75 to the power of 2 and get 0.5625.

$$\frac{0.0009+0.5625+0.091^{2}}{0.003^{2}+0.075^{2}+0.0091^{2}}$$

Add 0.0009 and 0.5625 to get 0.5634.

$$\frac{0.5634+0.091^{2}}{0.003^{2}+0.075^{2}+0.0091^{2}}$$

Calculate 0.091 to the power of 2 and get 0.008281.

$$\frac{0.5634+0.008281}{0.003^{2}+0.075^{2}+0.0091^{2}}$$

Add 0.5634 and 0.008281 to get 0.571681.

$$\frac{0.571681}{0.003^{2}+0.075^{2}+0.0091^{2}}$$

Calculate 0.003 to the power of 2 and get 0.000009.

$$\frac{0.571681}{0.000009+0.075^{2}+0.0091^{2}}$$

Calculate 0.075 to the power of 2 and get 0.005625.

$$\frac{0.571681}{0.000009+0.005625+0.0091^{2}}$$

Add 0.000009 and 0.005625 to get 0.005634.

$$\frac{0.571681}{0.005634+0.0091^{2}}$$

Calculate 0.0091 to the power of 2 and get 0.00008281.

$$\frac{0.571681}{0.005634+0.00008281}$$

Add 0.005634 and 0.00008281 to get 0.00571681.

$$\frac{0.571681}{0.00571681}$$

Expand \frac{0.571681}{0.00571681} by multiplying both numerator and the denominator by 100000000.

$$\frac{57168100}{571681}$$

Divide 57168100 by 571681 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$