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

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

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

simplify

\frac{2}{7 - 3}

\frac{7 + 3}{2}

Decimal

2.18890 \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) : 27 + 23

Expand

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

= \frac{2 7 + 2 3}{4}

Factor out common term

2

= \frac{2 ( 7 + 3 )}{4}

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

= \frac{7 + 3}{2}

- 4 (6 x - 2) < - 28 x - 12

lo g_{4} (2)

(2 + 3 i)^{3}

3 (2 x - 1) - (4 x + 1) - 2 (5 x - 6) \leq 8

∣ 2 x - 4 ∣ \leq - x + 3

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