What is expand (2(5-2*5^{1/2}))/5 ?

The solution to expand (2(5-2*5^{1/2}))/5 is 2-4/(5^{1/2)}

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expand (2(5-2*5^{1/2}))/5

expand

\frac{2 ( 5 - 2 \cdot 5 ^{\frac{1}{2}} )}{5}

2 - \frac{4}{5 ^{\frac{1}{2}}}

Decimal Notation

0.21114 \dots

Solution steps

\frac{2 ( 5 - 2 \cdot 5 ^{\frac{1}{2}} )}{5}

Expand

2 (5 - 2 \cdot 5^{\frac{1}{2}}) : 10 - 4 \cdot 5^{\frac{1}{2}}

= \frac{10 - 4 \cdot 5 ^{\frac{1}{2}}}{5}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{10 - 4 \cdot 5 ^{\frac{1}{2}}}{5} = \frac{10}{5} - \frac{4 \cdot 5 ^{\frac{1}{2}}}{5}

= \frac{10}{5} - \frac{4 \cdot 5 ^{\frac{1}{2}}}{5}

Divide the numbers:

\frac{10}{5} = 2

= 2 - \frac{4 \cdot 5 ^{\frac{1}{2}}}{5}

Cancel

\frac{4 \cdot 5 ^{\frac{1}{2}}}{5} : \frac{4}{5 ^{\frac{1}{2}}}

= 2 - \frac{4}{5 ^{\frac{1}{2}}}

\frac{x + 7}{( x + 2 ) ^{2}}

\frac{z ^{2}}{( z - 1 ) ( z - 0.5 ) ( z - 0.2 )}

\frac{3 - x}{( x - 4 ) ( x - 6 )}

\frac{- 14400 + l ^{2}}{2 ( l + 180 )}

(x - 1) (x - \frac{2}{x} = 1)

What is expand (2(5-2*5^{1/2}))/5 ?
The solution to expand (2(5-2*5^{1/2}))/5 is 2-4/(5^{1/2)}