What is (sqrt(10)+sqrt(3))/(sqrt(10)-\sqrt{3)} ?

The solution to (sqrt(10)+sqrt(3))/(sqrt(10)-\sqrt{3)} is (13+2sqrt(30))/7

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simplify (sqrt(10)+sqrt(3))/(sqrt(10)-\sqrt{3)}

simplify

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

\frac{13 + 2 30}{7}

Decimal Notation

3.42206 \dots

Solution steps

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

Multiply by the conjugate

\frac{10 + 3}{10 + 3}

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

Expand

(10 + 3) (10 + 3) : 13 + 230

Expand

(10 - 3) (10 + 3) : 7

= \frac{13 + 2 30}{7}

- 1 - i

(2 - 4 i) (3 + 5 i)

\frac{1}{sin ( x ) cos ( x )}

12 x + 4 (6 - (3 x + 2))

\frac{3}{4} + \frac{1}{2} \cdot \frac{5}{4} - \frac{1}{3}

What is (sqrt(10)+sqrt(3))/(sqrt(10)-\sqrt{3)} ?
The solution to (sqrt(10)+sqrt(3))/(sqrt(10)-\sqrt{3)} is (13+2sqrt(30))/7