What is expand ((2-sqrt(14))/5)^2 ?

The solution to expand ((2-sqrt(14))/5)^2 is 18/25-(4sqrt(14))/(25)

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expand ((2-sqrt(14))/5)^2

expand

(\frac{2 - 14}{5})^{2}

\frac{18}{25} - \frac{4 14}{25}

Decimal Notation

0.12133 \dots

Solution steps

(\frac{2 - 14}{5})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 - 14 ) ^{2}}{5 ^{2}}

(2 - 14)^{2} = 18 - 414

= \frac{18 - 4 14}{5 ^{2}}

5^{2} = 25

= \frac{18 - 4 14}{25}

Apply the fraction rule:

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

\frac{18 - 4 14}{25} = \frac{18}{25} - \frac{4 14}{25}

= \frac{18}{25} - \frac{4 14}{25}

\frac{( n ( n - 3 ) )}{2}

\frac{2 x ^{2} + 3 x - 11}{( x - 3 ) ( x + 1 )}

(π - 17)^{2}

\frac{( 0.05 - x ) ( 0.04 - x )}{( 0.086 - x ) ( 0.135 - x )}

\frac{1}{x ( N - x )}

What is expand ((2-sqrt(14))/5)^2 ?
The solution to expand ((2-sqrt(14))/5)^2 is 18/25-(4sqrt(14))/(25)