What is sqrt((1+(\sqrt{2))/2)/(2)} ?

The solution to sqrt((1+(\sqrt{2))/2)/(2)} is (sqrt(\sqrt{2)+1})/(\sqrt[4]{2^3)}

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simplify sqrt((1+(\sqrt{2))/2)/(2)}

simplify

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

Decimal Notation

0.92387 \dots

Solution steps

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

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

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

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

2 \cdot 2 = 2^{\frac{3}{4}}

= \frac{2 + 1}{2 ^{\frac{3}{4}}}

1 + \frac{1}{5} \cdot (5 + \frac{3}{5} \cdot (1 - \frac{3}{4}) - \frac{4}{5})

x^{2} - 100

∣ 2 x + 1 ∣ - 5 > 0

- 144

7 w - 28 \leq - 3 (4 - 3 w)

What is sqrt((1+(\sqrt{2))/2)/(2)} ?
The solution to sqrt((1+(\sqrt{2))/2)/(2)} is (sqrt(\sqrt{2)+1})/(\sqrt[4]{2^3)}