What is (5-4sqrt(2))/(4-3sqrt(2)) ?

The solution to (5-4sqrt(2))/(4-3sqrt(2)) is (4+sqrt(2))/2

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simplify (5-4sqrt(2))/(4-3sqrt(2))

simplify

\frac{5 - 4 2}{4 - 3 2}

\frac{4 + 2}{2}

Decimal Notation

2.70710 \dots

Solution steps

\frac{5 - 4 2}{4 - 3 2}

Multiply by the conjugate

\frac{4 + 3 2}{4 + 3 2}

= \frac{( 5 - 4 2 ) ( 4 + 3 2 )}{( 4 - 3 2 ) ( 4 + 3 2 )}

Expand

(5 - 42) (4 + 32) : - 4 - 2

Expand

(4 - 32) (4 + 32) : - 2

= \frac{- 4 - 2}{- 2}

\frac{- 4 - 2}{- 2} = \frac{4 + 2}{2}

= \frac{4 + 2}{2}

erf (1)

7 y^{2} - 5 y - 2

9 + x y - x - 9 y^{2}

0 = x^{2} + 10 x + 16

3 x^{2} - 12 x

What is (5-4sqrt(2))/(4-3sqrt(2)) ?
The solution to (5-4sqrt(2))/(4-3sqrt(2)) is (4+sqrt(2))/2