What is expand (1/2+(sqrt(2))/2)/(1/2) ?

The solution to expand (1/2+(sqrt(2))/2)/(1/2) is 1+sqrt(2)

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expand (1/2+(sqrt(2))/2)/(1/2)

expand

\frac{\frac{1}{2} + \frac{2}{2}}{\frac{1}{2}}

1 + 2

Decimal Notation

2.41421 \dots

Solution steps

\frac{\frac{1}{2} + \frac{2}{2}}{\frac{1}{2}}

Combine the fractions

\frac{1}{2} + \frac{2}{2} : \frac{1 + 2}{2}

= \frac{\frac{1 + 2}{2}}{\frac{1}{2}}

Divide fractions:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 1 + 2 ) \cdot 2}{2 \cdot 1}

Refine

= \frac{( 1 + 2 ) \cdot 2}{2}

Cancel the common factor:

2

= 1 + 2

d y (\frac{4}{x} - 4 e^{x} - 2 sin (x) + 3 cos (x))

\frac{- 4 ( b - 1 ) ^{3}}{27}

\frac{4 ( 2 3 - 9 )}{69}

2 (1 - x - y)^{2}

\frac{d}{d x} ((z) (3 sin (z) x^{2} - 4 x + 2 y z - y^{2}))

What is expand (1/2+(sqrt(2))/2)/(1/2) ?
The solution to expand (1/2+(sqrt(2))/2)/(1/2) is 1+sqrt(2)