What is 1/(1+(sqrt(2))/4) ?

The solution to 1/(1+(sqrt(2))/4) is (8-2sqrt(2))/7

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simplify 1/(1+(sqrt(2))/4)

simplify

\frac{1}{1 + \frac{2}{4}}

\frac{8 - 2 2}{7}

Decimal Notation

0.73879 \dots

Solution steps

\frac{1}{1 + \frac{2}{4}}

1 + \frac{2}{4} = \frac{2 2 + 1}{2 2}

= \frac{1}{\frac{2 2 + 1}{2 2}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 2}{2 2 + 1}

Cancel

\frac{2 2}{2 2 + 1} : \frac{8 - 2 2}{7}

= \frac{8 - 2 2}{7}

- 16 x - 12 x^{2}

(\frac{x ^{3} y ^{4} z ^{6}}{x y ^{- 2} z ^{3}})^{2}

ln (0.00001)

42 x^{3} - 7 x^{2} + 28 x

∣ 6 m ∣ = 42