What is (16(sqrt(2)-1)^6)/3+544sqrt(2)-768 ?

The solution to (16(sqrt(2)-1)^6)/3+544sqrt(2)-768 is (-720+512sqrt(2))/3

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simplify (16(sqrt(2)-1)^6)/3+544sqrt(2)-768

simplify

\frac{16 ( 2 - 1 ) ^{6}}{3} + 5442 - 768

\frac{- 720 + 512 2}{3}

Decimal Notation

1.35911 \dots

Solution steps

\frac{16 ( 2 - 1 ) ^{6}}{3} + 5442 - 768

Convert

5442

to fraction

: \frac{1632 2}{3}

= \frac{16 ( 2 - 1 ) ^{6}}{3} + \frac{1632 2}{3} - 768

Convert

- 768

to fraction

: \frac{- 2304}{3}

= \frac{16 ( 2 - 1 ) ^{6}}{3} + \frac{1632 2}{3} + \frac{- 2304}{3}

\frac{16 ( 2 - 1 ) ^{6}}{3} + \frac{1632 2}{3} + \frac{- 2304}{3} = \frac{16 ( 2 - 1 ) ^{6} + 1632 2 - 2304}{3}

= \frac{16 ( 2 - 1 ) ^{6} + 1632 2 - 2304}{3}

Simplify

16 (2 - 1)^{6} + 16322 - 2304 : - 720 + 5122

= \frac{- 720 + 512 2}{3}

y^{3} d x + 2 (x^{3} - x y^{2}) d y

k^{2} \frac{( k ^{2} + 1 ) ( k ^{2} + 2 ) + k ^{2} + 1}{6}

\frac{( s ^{4} + 2 s ^{3} + 3 s ^{2} + 4 s + 5 )}{( s ( s + 1 ) )}

\frac{x ^{2} - 6 x - 7}{( x - 3 ) ^{2}}

(x^{3})^{4}

What is (16(sqrt(2)-1)^6)/3+544sqrt(2)-768 ?
The solution to (16(sqrt(2)-1)^6)/3+544sqrt(2)-768 is (-720+512sqrt(2))/3