Solve (9/3+15/5+frac{sqrt{16}}{2}-100/sqrt{25})+(9/3-frac{15}{5}-frac{sqrt{16}}{2}+frac{100}{sqrt{25}})+1-(frac{9}{3}+frac{15}{5}+frac{sqrt{16}}{2}-frac{100}{sqrt{25}})

$$( \frac{ 9 }{ 3 } + \frac{ 15 }{ 5 } + \frac{ \sqrt{ 16 } }{ 2 } - \frac{ 100 }{ \sqrt{ 25 } } )+( \frac{ 9 }{ 3 } - \frac{ 15 }{ 5 } - \frac{ \sqrt{ 16 } }{ 2 } + \frac{ 100 }{ \sqrt{ 25 } } )+1-( \frac{ 9 }{ 3 } + \frac{ 15 }{ 5 } + \frac{ \sqrt{ 16 } }{ 2 } - \frac{ 100 }{ \sqrt{ 25 } } )$$

Evaluate

$$19$$

Solution Steps

Divide 9 by 3 to get 3.

$$3+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 15 by 5 to get 3.

$$3+3+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add 3 and 3 to get 6.

$$6+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 16 and get 4.

$$6+\frac{4}{2}-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 4 by 2 to get 2.

$$6+2-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add 6 and 2 to get 8.

$$8-\frac{100}{\sqrt{25}}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 25 and get 5.

$$8-\frac{100}{5}+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 100 by 5 to get 20.

$$8-20+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Subtract 20 from 8 to get -12.

$$-12+\frac{9}{3}-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 9 by 3 to get 3.

$$-12+3-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add -12 and 3 to get -9.

$$-9-\frac{15}{5}-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 15 by 5 to get 3.

$$-9-3-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Subtract 3 from -9 to get -12.

$$-12-\frac{\sqrt{16}}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 16 and get 4.

$$-12-\frac{4}{2}+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 4 by 2 to get 2.

$$-12-2+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Subtract 2 from -12 to get -14.

$$-14+\frac{100}{\sqrt{25}}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 25 and get 5.

$$-14+\frac{100}{5}+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 100 by 5 to get 20.

$$-14+20+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add -14 and 20 to get 6.

$$6+1-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add 6 and 1 to get 7.

$$7-\left(\frac{9}{3}+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 9 by 3 to get 3.

$$7-\left(3+\frac{15}{5}+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 15 by 5 to get 3.

$$7-\left(3+3+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Add 3 and 3 to get 6.

$$7-\left(6+\frac{\sqrt{16}}{2}-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 16 and get 4.

$$7-\left(6+\frac{4}{2}-\frac{100}{\sqrt{25}}\right)$$

Divide 4 by 2 to get 2.

$$7-\left(6+2-\frac{100}{\sqrt{25}}\right)$$

Add 6 and 2 to get 8.

$$7-\left(8-\frac{100}{\sqrt{25}}\right)$$

Calculate the square root of 25 and get 5.

$$7-\left(8-\frac{100}{5}\right)$$

Divide 100 by 5 to get 20.

$$7-\left(8-20\right)$$

Subtract 20 from 8 to get -12.

$$7-\left(-12\right)$$

The opposite of -12 is 12.

$$7+12$$

Add 7 and 12 to get 19.

$$19$$

Factor

$$19$$