What is expand (3(10+sqrt(102)))/(14) ?

The solution to expand (3(10+sqrt(102)))/(14) is 15/7+(3sqrt(51))/(7sqrt(2))

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expand (3(10+sqrt(102)))/(14)

expand

\frac{3 ( 10 + 102 )}{14}

\frac{15}{7} + \frac{3 51}{7 2}

Decimal Notation

4.30703 \dots

Solution steps

\frac{3 ( 10 + 102 )}{14}

Expand

3 (10 + 102) : 30 + 3102

= \frac{30 + 3 102}{14}

Apply the fraction rule:

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

\frac{30 + 3 102}{14} = \frac{30}{14} + \frac{3 102}{14}

= \frac{30}{14} + \frac{3 102}{14}

\frac{30}{14} = \frac{15}{7}

\frac{3 102}{14} = \frac{3 51}{7 2}

= \frac{15}{7} + \frac{3 51}{7 2}

(x^{42})^{2}

27 \cdot 21

\frac{11}{( s - 1 ) ^{3}}

\frac{1}{( x - 7 ) ( x - 8 )}

(- 3 + x)^{9}

What is expand (3(10+sqrt(102)))/(14) ?
The solution to expand (3(10+sqrt(102)))/(14) is 15/7+(3sqrt(51))/(7sqrt(2))