What is rationalize 5/(sqrt(2)-\sqrt{3)} ?

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

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rationalize 5/(sqrt(2)-\sqrt{3)}

rationalize

\frac{5}{2 - 3}

- 5 (2 + 3)

Solution steps

\frac{5}{2 - 3}

Multiply by the conjugate

\frac{2 + 3}{2 + 3}

= \frac{5 ( 2 + 3 )}{( 2 - 3 ) ( 2 + 3 )}

(2 - 3) (2 + 3) = - 1

= \frac{5 ( 2 + 3 )}{- 1}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{5 ( 2 + 3 )}{1}

Apply rule

\frac{a}{1} = a

= - 5 (2 + 3)

\frac{n}{n}

(x + 1) \cdot (x + 2)

lo g_{10} (\frac{5}{2})

2 (x + h)

9^{2} + 9^{2}

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