Solve sqrt{10000*2.32^2-46400*2.32+54400}

$$\sqrt{ 10000 \times { 2.32 }^{ 2 } -46400 \cdot 2.32+54400 }$$

Evaluate

$$24$$

Solution Steps

Calculate 2.32 to the power of 2 and get 5.3824.

$$\sqrt{10000\times 5.3824-46400\times 2.32+54400}$$

Multiply 10000 and 5.3824 to get 53824.

$$\sqrt{53824-46400\times 2.32+54400}$$

Multiply 46400 and 2.32 to get 107648.

$$\sqrt{53824-107648+54400}$$

Subtract 107648 from 53824 to get -53824.

$$\sqrt{-53824+54400}$$

Add -53824 and 54400 to get 576.

$$\sqrt{576}$$

Calculate the square root of 576 and get 24.

$$24$$

Factor

$$3\times 2^{3}$$