What is (2sqrt(2))/(5-2sqrt(6)) ?

The solution to (2sqrt(2))/(5-2sqrt(6)) is 10sqrt(2)+8sqrt(3)

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simplify (2sqrt(2))/(5-2sqrt(6))

simplify

\frac{2 2}{5 - 2 6}

102 + 83

Decimal Notation

27.99854 \dots

Solution steps

\frac{2 2}{5 - 2 6}

Multiply by the conjugate

\frac{5 + 2 6}{5 + 2 6}

= \frac{2 ( 5 + 2 6 ) 2}{( 5 - 2 6 ) ( 5 + 2 6 )}

Expand

2 (5 + 26) : 10 + 46

Expand

(5 - 26) (5 + 26) : 1

= \frac{( 10 + 4 6 ) 2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= (10 + 46) 2

(10 + 46) 2 = 102 + 83

= 102 + 83

3 x^{2} - 3 x^{2} y^{4}

x^{2} - 3 x - 10 = 0

4 m^{6} - 30 m^{5} + 36 m^{4}

\frac{3.5}{3.5 - 4}

2 t^{3} - 16

What is (2sqrt(2))/(5-2sqrt(6)) ?
The solution to (2sqrt(2))/(5-2sqrt(6)) is 10sqrt(2)+8sqrt(3)