What is rationalizedenominator 1/(5-sqrt(2)) ?

The solution to rationalizedenominator 1/(5-sqrt(2)) is (5+sqrt(2))/(23)

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rationalizedenominator 1/(5-sqrt(2))

rationalize denominator

\frac{1}{5 - 2}

\frac{5 + 2}{23}

Decimal Notation

0.27887 \dots

Solution steps

\frac{1}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

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

1 \cdot (5 + 2) = 5 + 2

(5 - 2) (5 + 2) = 23

= \frac{5 + 2}{23}

10 x^{5} - 7 x^{3}

- 3^{9}

\frac{\frac{x ^{2} - 4}{x - 8}}{( x - 2 )}

5 \cdot (- 7)

\frac{169}{3}

What is rationalizedenominator 1/(5-sqrt(2)) ?
The solution to rationalizedenominator 1/(5-sqrt(2)) is (5+sqrt(2))/(23)