What is expand (5(27sqrt(2)-20))/(1058) ?

The solution to expand (5(27sqrt(2)-20))/(1058) is (135)/(529sqrt(2))-50/529

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expand (5(27sqrt(2)-20))/(1058)

expand

\frac{5 ( 27 2 - 20 )}{1058}

\frac{135}{529 2} - \frac{50}{529}

Decimal Notation

0.08593 \dots

Solution steps

\frac{5 ( 27 2 - 20 )}{1058}

Expand

5 (272 - 20) : 1352 - 100

= \frac{135 2 - 100}{1058}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{135 2 - 100}{1058} = \frac{135 2}{1058} - \frac{100}{1058}

= \frac{135 2}{1058} - \frac{100}{1058}

\frac{135 2}{1058} = \frac{135}{529 2}

\frac{100}{1058} = \frac{50}{529}

= \frac{135}{529 2} - \frac{50}{529}

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What is expand (5(27sqrt(2)-20))/(1058) ?
The solution to expand (5(27sqrt(2)-20))/(1058) is (135)/(529sqrt(2))-50/529