What is 5/2+(2(4sqrt(2)-2))/3 ?

The solution to 5/2+(2(4sqrt(2)-2))/3 is (7+16sqrt(2))/6

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simplify 5/2+(2(4sqrt(2)-2))/3

simplify

\frac{5}{2} + \frac{2 ( 4 2 - 2 )}{3}

\frac{7 + 16 2}{6}

Decimal Notation

4.93790 \dots

Solution steps

\frac{5}{2} + \frac{2 ( 4 2 - 2 )}{3}

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

= \frac{15}{6} + \frac{4 ( 4 2 - 2 )}{6}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{15 + 4 ( 4 2 - 2 )}{6}

Simplify

15 + 4 (42 - 2) : 7 + 162

= \frac{7 + 16 2}{6}

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

(- 3 + i)^{8}

(sin (2 x) - cos (2 x))^{2}

x (x + 3)

What is 5/2+(2(4sqrt(2)-2))/3 ?
The solution to 5/2+(2(4sqrt(2)-2))/3 is (7+16sqrt(2))/6