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

The solution to (sqrt(7)+sqrt(3))/(sqrt(7)-\sqrt{3)} is (5+sqrt(21))/2

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

simplify

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

\frac{5 + 21}{2}

Decimal Notation

4.79128 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(7 + 3) (7 + 3) : 10 + 221

Expand

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

= \frac{10 + 2 21}{4}

Factor out common term

2 : 2 (5 + 21)

= \frac{2 ( 5 + 21 )}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 ( 5 + 21 )}{2 \cdot 2}

Cancel the common factor:

2

= \frac{5 + 21}{2}

- 109 - 13 x = 47

\frac{2 x + 1}{7} - \frac{x}{3} = 3 - \frac{5 x + 9}{8}

\frac{1}{2} \cdot lo g_{3} (81)

(- 3)^{6}

8^{\frac{1}{4}} \cdot 3 2^{\frac{1}{4}}

What is (sqrt(7)+sqrt(3))/(sqrt(7)-\sqrt{3)} ?
The solution to (sqrt(7)+sqrt(3))/(sqrt(7)-\sqrt{3)} is (5+sqrt(21))/2