What is sqrt(-(2(3\sqrt{5)-5))/5+1} ?

The solution to sqrt(-(2(3\sqrt{5)-5))/5+1} is sqrt((-6+3\sqrt{5))/(sqrt(5))}

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simplify sqrt(-(2(3\sqrt{5)-5))/5+1}

simplify

- \frac{2 ( 3 5 - 5 )}{5} + 1

\frac{- 6 + 3 5}{5}

Decimal Notation

0.56277 \dots

Solution steps

- \frac{2 ( 3 5 - 5 )}{5} + 1

Cancel

\frac{2 ( 3 5 - 5 )}{5} : \frac{2 ( 3 - 5 )}{5}

= - \frac{2 ( 3 - 5 )}{5} + 1

Convert

1

to fraction

: \frac{5}{5}

= - \frac{2 ( 3 - 5 )}{5} + \frac{5}{5}

- \frac{2 ( 3 - 5 )}{5} + \frac{5}{5} = \frac{- 2 ( 3 - 5 ) + 5}{5}

= \frac{- 2 ( 3 - 5 ) + 5}{5}

Simplify

- 2 (3 - 5) + 5 : - 6 + 35

= \frac{- 6 + 3 5}{5}

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What is sqrt(-(2(3\sqrt{5)-5))/5+1} ?
The solution to sqrt(-(2(3\sqrt{5)-5))/5+1} is sqrt((-6+3\sqrt{5))/(sqrt(5))}