Solve 25sqrt{5^2-2^2-1^2-3^2}

$$25 \sqrt{ { 5 }^{ 2 } - { 2 }^{ 2 } - { 1 }^{ 2 } - { 3 }^{ 2 } }$$

Evaluate

$$25\sqrt{11}\approx 82.915619759$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25\sqrt{25-2^{2}-1^{2}-3^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$25\sqrt{25-4-1^{2}-3^{2}}$$

Subtract 4 from 25 to get 21.

$$25\sqrt{21-1^{2}-3^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$25\sqrt{21-1-3^{2}}$$

Subtract 1 from 21 to get 20.

$$25\sqrt{20-3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$25\sqrt{20-9}$$

Subtract 9 from 20 to get 11.

$$25\sqrt{11}$$