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

The solution to (sqrt(3-\sqrt{2)})/(sqrt(3+\sqrt{2))} is (3-sqrt(2))/(sqrt(7))

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simplify (sqrt(3-\sqrt{2)})/(sqrt(3+\sqrt{2))}

simplify

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

\frac{3 - 2}{7}

Decimal Notation

0.59937 \dots

Solution steps

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{3 - 2}{3 + 2} = \frac{3 - 2}{3 + 2}

= \frac{3 - 2}{3 + 2}

Cancel

\frac{3 - 2}{3 + 2} : \frac{11 - 6 2}{7}

= \frac{11 - 6 2}{7}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{11 - 6 2}{7}

11 - 62 = 3 - 2

= \frac{3 - 2}{7}

n \cdot ((n - 1) \cdot 2^{m} n^{m})

- e^{- t} \cdot (- e^{- t})

45 x y x

What is (sqrt(3-\sqrt{2)})/(sqrt(3+\sqrt{2))} ?
The solution to (sqrt(3-\sqrt{2)})/(sqrt(3+\sqrt{2))} is (3-sqrt(2))/(sqrt(7))