Solve 100+1:sqrt{6400+60^2}=

$$100 + 1 : \sqrt { 6400 + 60 ^ { 2 } } =$$

Evaluate

$$\frac{10001}{100}=100.01$$

Solution Steps

Calculate 60 to the power of 2 and get 3600.

$$100+\frac{1}{\sqrt{6400+3600}}$$

Add 6400 and 3600 to get 10000.

$$100+\frac{1}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$100+\frac{1}{100}$$

Convert 100 to fraction \frac{10000}{100}.

$$\frac{10000}{100}+\frac{1}{100}$$

Since \frac{10000}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{10000+1}{100}$$

Add 10000 and 1 to get 10001.

$$\frac{10001}{100}$$

Factor

$$\frac{73 \cdot 137}{2 ^ {2} \cdot 5 ^ {2}} = 100\frac{1}{100} = 100.01$$