What is expand 1/2 (4sqrt(65)+1/2 ln(8+sqrt(65))) ?

The solution to expand 1/2 (4sqrt(65)+1/2 ln(8+sqrt(65))) is 2sqrt(65)+1/4 ln(8+sqrt(65))

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expand 1/2 (4sqrt(65)+1/2 ln(8+sqrt(65)))

expand

\frac{1}{2} (465 + \frac{1}{2} ln (8 + 65))

265 + \frac{1}{4} ln (8 + 65)

Solution steps

\frac{1}{2} (465 + \frac{1}{2} ln (8 + 65))

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{2}, b = 465, c = \frac{1}{2} ln (8 + 65)

= \frac{1}{2} \cdot 465 + \frac{1}{2} \cdot \frac{1}{2} ln (8 + 65)

= 465 \frac{1}{2} + \frac{1}{2} \cdot \frac{1}{2} ln (8 + 65)

Simplify

465 \frac{1}{2} + \frac{1}{2} \cdot \frac{1}{2} ln (8 + 65) : 265 + \frac{1}{4} ln (8 + 65)

= 265 + \frac{1}{4} ln (8 + 65)

e (4 x + 5)

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

c (n, r - 1)

\frac{1}{4 ( e ^{x} - e ^{- x} ) ^{2}}

lo g_{10} (x y)

What is expand 1/2 (4sqrt(65)+1/2 ln(8+sqrt(65))) ?
The solution to expand 1/2 (4sqrt(65)+1/2 ln(8+sqrt(65))) is 2sqrt(65)+1/4 ln(8+sqrt(65))