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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

1 4^{4 x - x^{2}} e^{3 x^{2}} (2 - x ln (7) + 3 x)

\frac{1}{4} (8 x + 4 = 2 x - 4)

(3, - 2) y (1, - 4)

\frac{( k \cdot e ^{- o x} )}{( t x + 1 ) x}

\frac{x + 2}{( - 2 + 2 i ) ( - 2 - 2 i )}

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