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

3.78885 \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{1}{3} e^{x} + \frac{5}{3} e^{- 2 x}) \cdot (e^{x} - 2 y)

a (- 2, 4) b (1, 2) c (0, - 3)

5^{(n - 1)} + 2^{(n - 1)}

\frac{\partial}{\partial x} ((z) (z^{x} - 4 x y^{3} + z))

\frac{\partial}{\partial x} ((z) (3 x^{4} - 2 y^{3})^{3})

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)}