Solve 85/251-2sqrt{lceil2rceil2}

$$\frac{ 85 }{ 251 } -2 \sqrt{ \lceil 2 \rceil 2 }$$

Evaluate

$$-\frac{919}{251}\approx -3.661354582$$

Solution Steps

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of 2 is 2.

$$\frac{85}{251}-2\sqrt{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{85}{251}-2\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$\frac{85}{251}-2\times 2$$

Multiply 2 and 2 to get 4.

$$\frac{85}{251}-4$$

Convert 4 to fraction \frac{1004}{251}.

$$\frac{85}{251}-\frac{1004}{251}$$

Since \frac{85}{251} and \frac{1004}{251} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-1004}{251}$$

Subtract 1004 from 85 to get -919.

$$-\frac{919}{251}$$

Factor

$$-\frac{919}{251} = -3\frac{166}{251} = -3.6613545816733066$$