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

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

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

expand

\frac{1}{2} (2 + ln (1 + 2))

\frac{1}{2} + \frac{ln ( 1 + 2 )}{2}

Solution steps

\frac{1}{2} (2 + ln (1 + 2))

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{2}, b = 2, c = ln (1 + 2)

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

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

Simplify

2 \frac{1}{2} + \frac{1}{2} ln (1 + 2) : \frac{1}{2} + \frac{ln ( 1 + 2 )}{2}

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

\frac{( x ^{2} + 1 ) ( x ^{2} - 2 )}{x ^{\frac{2}{3}}}

\frac{- 1 + 4 a}{3 ( - 1 + a )}

1 + x^{- 2}

- \frac{x ( x + 2 )}{( x + 1 ) ^{2}}

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