What is (3+sqrt(7))/(2-sqrt(10)) ?

The solution to (3+sqrt(7))/(2-sqrt(10)) is -(6+3sqrt(10)+2sqrt(7)+sqrt(70))/6

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simplify (3+sqrt(7))/(2-sqrt(10))

simplify

\frac{3 + 7}{2 - 10}

- \frac{6 + 3 10 + 2 7 + 70}{6}

Decimal Notation

- 4.85748 \dots

Solution steps

\frac{3 + 7}{2 - 10}

Multiply by the conjugate

\frac{2 + 10}{2 + 10}

= \frac{( 3 + 7 ) ( 2 + 10 )}{( 2 - 10 ) ( 2 + 10 )}

Expand

(3 + 7) (2 + 10) : 6 + 310 + 27 + 70

Expand

(2 - 10) (2 + 10) : - 6

= \frac{6 + 3 10 + 2 7 + 70}{- 6}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{6 + 3 10 + 2 7 + 70}{6}

2.8

(9 x + 2 y)^{2}

\frac{x ^{2} - 4}{x ^{3} - 8}

\frac{2}{3} \cdot 30

- 20 \div 5

What is (3+sqrt(7))/(2-sqrt(10)) ?
The solution to (3+sqrt(7))/(2-sqrt(10)) is -(6+3sqrt(10)+2sqrt(7)+sqrt(70))/6