What is (sqrt(2))/(sqrt(7)-\sqrt{3)} ?

The solution to (sqrt(2))/(sqrt(7)-\sqrt{3)} is (sqrt(14)+sqrt(6))/4

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simplify (sqrt(2))/(sqrt(7)-\sqrt{3)}

simplify

\frac{2}{7 - 3}

\frac{14 + 6}{4}

Decimal Notation

1.54778 \dots

Solution steps

\frac{2}{7 - 3}

Multiply by the conjugate

\frac{7 + 3}{7 + 3}

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

Expand

2 (7 + 3) : 14 + 6

Expand

(7 - 3) (7 + 3) : 4

= \frac{14 + 6}{4}

3 t + 5 (8 v + 3 t)

\frac{60 x ^{10} y}{5 x ^{4} y}

5^{x} + 5^{x + 1}

\frac{4 - 6 i}{- 2 - 4 i}

- x \cdot (- 1)

What is (sqrt(2))/(sqrt(7)-\sqrt{3)} ?
The solution to (sqrt(2))/(sqrt(7)-\sqrt{3)} is (sqrt(14)+sqrt(6))/4