What is (sqrt((17+\sqrt{17))/(34)})^2 ?

The solution to (sqrt((17+\sqrt{17))/(34)})^2 is (sqrt(17)+1)/(2sqrt(17))

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simplify (sqrt((17+\sqrt{17))/(34)})^2

simplify

\frac{17 + 17}{34}^{2}

\frac{17 + 1}{2 17}

Decimal Notation

0.62126 \dots

Solution steps

\frac{17 + 17}{34}^{2}

Apply exponent rule:

\frac{17 + 17}{34}^{2} = \frac{17 + 17}{34}

= \frac{17 + 17}{34}

Factor

17 + 17 : 17 (17 + 1)

= \frac{17 ( 17 + 1 )}{34}

Factor

34 : 2 \cdot 17

= \frac{17 ( 1 + 17 )}{2 \cdot 17}

Cancel

\frac{17 ( 17 + 1 )}{2 \cdot 17} : \frac{17 + 1}{2 17}

= \frac{17 + 1}{2 17}

2.8 \times 1 0^{- 4}

0.23 \cdot 1 0^{- 3}

(3 x 1 0^{8}) (6.8 x 1 0^{- 13})

e^{- 4.2}

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

What is (sqrt((17+\sqrt{17))/(34)})^2 ?
The solution to (sqrt((17+\sqrt{17))/(34)})^2 is (sqrt(17)+1)/(2sqrt(17))