What is rationalize 2/(7-sqrt(3)) ?

The solution to rationalize 2/(7-sqrt(3)) is (7+sqrt(3))/(23)

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rationalize 2/(7-sqrt(3))

rationalize

\frac{2}{7 - 3}

\frac{7 + 3}{23}

Decimal Notation

0.37965 \dots

Solution steps

\frac{2}{7 - 3}

Multiply by the conjugate

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

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

(7 - 3) (7 + 3) = 46

= \frac{2 ( 7 + 3 )}{46}

Cancel the common factor:

2

= \frac{7 + 3}{23}

(- p + q)^{5}

(6 - x)^{2}

4 - x - \frac{x}{2 4 - x}

- (- x)

(- 7 + 5 i)^{2}

What is rationalize 2/(7-sqrt(3)) ?
The solution to rationalize 2/(7-sqrt(3)) is (7+sqrt(3))/(23)