Solve 100+sqrt{25-12*2^2+2*4^2}

$$100+ \sqrt{ 25-12 \times { 2 }^{ 2 } +2 \times { 4 }^{ 2 } }$$

Evaluate

$$103$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$100+\sqrt{25-12\times 4+2\times 4^{2}}$$

Multiply 12 and 4 to get 48.

$$100+\sqrt{25-48+2\times 4^{2}}$$

Subtract 48 from 25 to get -23.

$$100+\sqrt{-23+2\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$100+\sqrt{-23+2\times 16}$$

Multiply 2 and 16 to get 32.

$$100+\sqrt{-23+32}$$

Add -23 and 32 to get 9.

$$100+\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$100+3$$

Add 100 and 3 to get 103.

$$103$$

Factor

$$103$$