Solve -0.06*sqrt{10000}+8/sqrt{256}-2.5*sqrt{3.24}

$$-0.06 \times \sqrt{ 10000 } + \frac{ 8 }{ \sqrt{ 256 } } -2.5 \times \sqrt{ 3.24 }$$

Evaluate

$$-10$$

Solution Steps

Calculate the square root of 10000 and get 100.

$$-0.06\times 100+\frac{8}{\sqrt{256}}-2.5\sqrt{3.24}$$

Multiply -0.06 and 100 to get -6.

$$-6+\frac{8}{\sqrt{256}}-2.5\sqrt{3.24}$$

Calculate the square root of 256 and get 16.

$$-6+\frac{8}{16}-2.5\sqrt{3.24}$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$-6+\frac{1}{2}-2.5\sqrt{3.24}$$

Convert -6 to fraction -\frac{12}{2}.

$$-\frac{12}{2}+\frac{1}{2}-2.5\sqrt{3.24}$$

Since -\frac{12}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-12+1}{2}-2.5\sqrt{3.24}$$

Add -12 and 1 to get -11.

$$-\frac{11}{2}-2.5\sqrt{3.24}$$

Calculate the square root of 3.24 and get 1.8.

$$-\frac{11}{2}-2.5\times 1.8$$

Multiply -2.5 and 1.8 to get -4.5.

$$-\frac{11}{2}-4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{11}{2}-\frac{9}{2}$$

Since -\frac{11}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-9}{2}$$

Subtract 9 from -11 to get -20.

$$\frac{-20}{2}$$

Divide -20 by 2 to get -10.

$$-10$$

Factor

$$-10$$