What is 1/(sqrt(3-\sqrt{2))} ?

The solution to 1/(sqrt(3-\sqrt{2))} is ((3+sqrt(2))sqrt(3-\sqrt{2)})/7

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simplify 1/(sqrt(3-\sqrt{2))}

simplify

\frac{1}{3 - 2}

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

Decimal Notation

0.79410 \dots

Solution steps

\frac{1}{3 - 2}

Multiply by the conjugate

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

= \frac{1 \cdot 3 - 2}{3 - 2 3 - 2}

1 \cdot 3 - 2 = 3 - 2

3 - 2 3 - 2 = 3 - 2

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

Multiply by the conjugate

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

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

(3 - 2) (3 + 2) = 7

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

lo g_{10} (x^{x})

(m + n) (2 n - m)

sin (x) cot (x) sec (x)

32 \cdot 22

(x - 1)^{2} + (y - 1)^{2}

What is 1/(sqrt(3-\sqrt{2))} ?
The solution to 1/(sqrt(3-\sqrt{2))} is ((3+sqrt(2))sqrt(3-\sqrt{2)})/7