Solve 45420+1962050/sqrt{256}

$$45420 + 196 \frac { 2050 } { \sqrt { 256 } }$$

Evaluate

$$\frac{141065}{2}=70532.5$$

Solution Steps

Calculate the square root of 256 and get 16.

$$45420+196\times \frac{2050}{16}$$

Reduce the fraction \frac{2050}{16} to lowest terms by extracting and canceling out 2.

$$45420+196\times \frac{1025}{8}$$

Express 196\times \frac{1025}{8} as a single fraction.

$$45420+\frac{196\times 1025}{8}$$

Multiply 196 and 1025 to get 200900.

$$45420+\frac{200900}{8}$$

Reduce the fraction \frac{200900}{8} to lowest terms by extracting and canceling out 4.

$$45420+\frac{50225}{2}$$

Convert 45420 to fraction \frac{90840}{2}.

$$\frac{90840}{2}+\frac{50225}{2}$$

Since \frac{90840}{2} and \frac{50225}{2} have the same denominator, add them by adding their numerators.

$$\frac{90840+50225}{2}$$

Add 90840 and 50225 to get 141065.

$$\frac{141065}{2}$$

Factor

$$\frac{5 \cdot 89 \cdot 317}{2} = 70532\frac{1}{2} = 70532.5$$