Solve 9.95^2+9.33^2+9.49^2+left(9.00right)^2+{10.09}^{2}+{9.15}^{2}+{9.52}^{2}+{9.33}^{2}+{9.16}^2+{9.37}^2+{9.11}^2+{9.27}^2

$${ 9.95 }^{ 2 } + { 9.33 }^{ 2 } + { 9.49 }^{ 2 } + { \left(9.00 \right) }^{ 2 } + { 10.09 }^{ 2 } + { 9.15 }^{ 2 } + { 9.52 }^{ 2 } + { 9.33 }^{ 2 } + { 9.16 }^{ 2 } + { 9.37 }^{ 2 } + { 9.11 }^{ 2 } + { 9.27 }^{ 2 }$$

Evaluate

$$1060.9489$$

Solution Steps

Calculate 9.95 to the power of 2 and get 99.0025.

$$99.0025+9.33^{2}+9.49^{2}+9^{2}+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.33 to the power of 2 and get 87.0489.

$$99.0025+87.0489+9.49^{2}+9^{2}+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 99.0025 and 87.0489 to get 186.0514.

$$186.0514+9.49^{2}+9^{2}+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.49 to the power of 2 and get 90.0601.

$$186.0514+90.0601+9^{2}+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 186.0514 and 90.0601 to get 276.1115.

$$276.1115+9^{2}+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9 to the power of 2 and get 81.

$$276.1115+81+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 276.1115 and 81 to get 357.1115.

$$357.1115+10.09^{2}+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 10.09 to the power of 2 and get 101.8081.

$$357.1115+101.8081+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 357.1115 and 101.8081 to get 458.9196.

$$458.9196+9.15^{2}+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.15 to the power of 2 and get 83.7225.

$$458.9196+83.7225+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 458.9196 and 83.7225 to get 542.6421.

$$542.6421+9.52^{2}+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.52 to the power of 2 and get 90.6304.

$$542.6421+90.6304+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 542.6421 and 90.6304 to get 633.2725.

$$633.2725+9.33^{2}+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.33 to the power of 2 and get 87.0489.

$$633.2725+87.0489+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 633.2725 and 87.0489 to get 720.3214.

$$720.3214+9.16^{2}+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.16 to the power of 2 and get 83.9056.

$$720.3214+83.9056+9.37^{2}+9.11^{2}+9.27^{2}$$

Add 720.3214 and 83.9056 to get 804.227.

$$804.227+9.37^{2}+9.11^{2}+9.27^{2}$$

Calculate 9.37 to the power of 2 and get 87.7969.

$$804.227+87.7969+9.11^{2}+9.27^{2}$$

Add 804.227 and 87.7969 to get 892.0239.

$$892.0239+9.11^{2}+9.27^{2}$$

Calculate 9.11 to the power of 2 and get 82.9921.

$$892.0239+82.9921+9.27^{2}$$

Add 892.0239 and 82.9921 to get 975.016.

$$975.016+9.27^{2}$$

Calculate 9.27 to the power of 2 and get 85.9329.

$$975.016+85.9329$$

Add 975.016 and 85.9329 to get 1060.9489.

$$1060.9489$$

Factor

$$\frac{11 \cdot 964499}{2 ^ {4} \cdot 5 ^ {4}} = 1060\frac{9489}{10000} = 1060.9489$$