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

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

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

rationalize denominator

\frac{5}{2 - 3}

- 5 (2 + 3)

Decimal Notation

- 15.73132 \dots

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)

a \cdot (- a)

(5 x - 3) (x^{3} - 5 x + 2)

(x + 4)^{6}

\frac{72}{15}

\frac{( \frac{1}{5} ) ^{2}}{( \frac{1}{2} ) ^{3} + \frac{5}{3}}

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