Solve -006*sqrt{10000}+8/sqrt{256}-25*sqrt{324}

$$-006 \times \sqrt{ 10000 } + \frac{ 8 }{ \sqrt{ 256 } } -25 \times \sqrt{ 324 }$$

Evaluate

$$-\frac{899}{2}=-449.5$$

Solution Steps

Multiply 0 and 6 to get 0.

$$0\times 0\sqrt{10000}+\frac{8}{\sqrt{256}}-25\sqrt{324}$$

Multiply 0 and 0 to get 0.

$$0\sqrt{10000}+\frac{8}{\sqrt{256}}-25\sqrt{324}$$

Calculate the square root of 10000 and get 100.

$$0\times 100+\frac{8}{\sqrt{256}}-25\sqrt{324}$$

Multiply 0 and 100 to get 0.

$$0+\frac{8}{\sqrt{256}}-25\sqrt{324}$$

Calculate the square root of 256 and get 16.

$$0+\frac{8}{16}-25\sqrt{324}$$

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

$$0+\frac{1}{2}-25\sqrt{324}$$

Add 0 and \frac{1}{2} to get \frac{1}{2}.

$$\frac{1}{2}-25\sqrt{324}$$

Calculate the square root of 324 and get 18.

$$\frac{1}{2}-25\times 18$$

Multiply -25 and 18 to get -450.

$$\frac{1}{2}-450$$

Convert 450 to fraction \frac{900}{2}.

$$\frac{1}{2}-\frac{900}{2}$$

Since \frac{1}{2} and \frac{900}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-900}{2}$$

Subtract 900 from 1 to get -899.

$$-\frac{899}{2}$$

Factor

$$-\frac{899}{2} = -449\frac{1}{2} = -449.5$$