Solve 7/sqrt{4}+(4*45^2)*5

$$\frac{ 7 }{ \sqrt{ 4 } } +(4 \times { 45 }^{ 2 } ) \times 5$$

Evaluate

$$\frac{81007}{2}=40503.5$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\frac{7}{2}+4\times 45^{2}\times 5$$

Calculate 45 to the power of 2 and get 2025.

$$\frac{7}{2}+4\times 2025\times 5$$

Multiply 4 and 2025 to get 8100.

$$\frac{7}{2}+8100\times 5$$

Multiply 8100 and 5 to get 40500.

$$\frac{7}{2}+40500$$

Convert 40500 to fraction \frac{81000}{2}.

$$\frac{7}{2}+\frac{81000}{2}$$

Since \frac{7}{2} and \frac{81000}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+81000}{2}$$

Add 7 and 81000 to get 81007.

$$\frac{81007}{2}$$

Factor

$$\frac{59 \cdot 1373}{2} = 40503\frac{1}{2} = 40503.5$$