Solve sqrt{4^2+10^2+28^2}+sqrt{15^2+{20}^2-300*2}

$$\sqrt{ { 4 }^{ 2 } + { 10 }^{ 2 } + { 28 }^{ 2 } } + \sqrt{ { 15 }^{ 2 } + { 20 }^{ 2 } -300 \cdot 2 }$$

Evaluate

$$35$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\sqrt{16+10^{2}+28^{2}}+\sqrt{15^{2}+20^{2}-300\times 2}$$

Calculate 10 to the power of 2 and get 100.

$$\sqrt{16+100+28^{2}}+\sqrt{15^{2}+20^{2}-300\times 2}$$

Add 16 and 100 to get 116.

$$\sqrt{116+28^{2}}+\sqrt{15^{2}+20^{2}-300\times 2}$$

Calculate 28 to the power of 2 and get 784.

$$\sqrt{116+784}+\sqrt{15^{2}+20^{2}-300\times 2}$$

Add 116 and 784 to get 900.

$$\sqrt{900}+\sqrt{15^{2}+20^{2}-300\times 2}$$

Calculate the square root of 900 and get 30.

$$30+\sqrt{15^{2}+20^{2}-300\times 2}$$

Calculate 15 to the power of 2 and get 225.

$$30+\sqrt{225+20^{2}-300\times 2}$$

Calculate 20 to the power of 2 and get 400.

$$30+\sqrt{225+400-300\times 2}$$

Add 225 and 400 to get 625.

$$30+\sqrt{625-300\times 2}$$

Multiply 300 and 2 to get 600.

$$30+\sqrt{625-600}$$

Subtract 600 from 625 to get 25.

$$30+\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$30+5$$

Add 30 and 5 to get 35.

$$35$$

Factor

$$5\times 7$$