What is 1/(sqrt(7)-\sqrt{3)} ?

The solution to 1/(sqrt(7)-\sqrt{3)} is (sqrt(7)+sqrt(3))/4

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simplify 1/(sqrt(7)-\sqrt{3)}

simplify

\frac{1}{7 - 3}

\frac{7 + 3}{4}

Solution steps

\frac{1}{7 - 3}

Multiply by the conjugate

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

= \frac{1 \cdot ( 7 + 3 )}{( 7 - 3 ) ( 7 + 3 )}

1 \cdot (7 + 3) = 7 + 3

(7 - 3) (7 + 3) = 4

= \frac{7 + 3}{4}

11 y^{2} + 12 y - 6 y^{2} - 8 y + 5 y^{0}

\frac{1}{8 8}

(- x - 10) (x^{2} - 2 x + 1)

7 \times 3

x^{2} - 8 x y + 7 y^{2}

What is 1/(sqrt(7)-\sqrt{3)} ?
The solution to 1/(sqrt(7)-\sqrt{3)} is (sqrt(7)+sqrt(3))/4