What is (4(3sqrt(2)+13))/3-4sqrt(2)-2 ?

The solution to (4(3sqrt(2)+13))/3-4sqrt(2)-2 is 46/3

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simplify (4(3sqrt(2)+13))/3-4sqrt(2)-2

simplify

\frac{4 ( 3 2 + 13 )}{3} - 42 - 2

\frac{46}{3}

Decimal Notation

15.33333 \dots

Solution steps

\frac{4 ( 3 2 + 13 )}{3} - 42 - 2

Convert

- 42

to fraction

: \frac{- 12 2}{3}

= \frac{4 ( 3 2 + 13 )}{3} + \frac{- 12 2}{3} - 2

Convert

- 2

to fraction

: \frac{- 6}{3}

= \frac{4 ( 3 2 + 13 )}{3} + \frac{- 12 2}{3} + \frac{- 6}{3}

\frac{4 ( 3 2 + 13 )}{3} + \frac{- 12 2}{3} + \frac{- 6}{3} = \frac{4 ( 3 2 + 13 ) - 12 2 - 6}{3}

= \frac{4 ( 3 2 + 13 ) - 12 2 - 6}{3}

Simplify

4 (32 + 13) - 122 - 6 : 46

= \frac{46}{3}

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(1 - cos (2 x)) (1 - cos (2 x))

What is (4(3sqrt(2)+13))/3-4sqrt(2)-2 ?
The solution to (4(3sqrt(2)+13))/3-4sqrt(2)-2 is 46/3