What is (11)/(sqrt(5)-2) ?

The solution to (11)/(sqrt(5)-2) is 11sqrt(5)+22

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simplify (11)/(sqrt(5)-2)

simplify

\frac{11}{5 - 2}

115 + 22

Decimal Notation

46.59674 \dots

Solution steps

\frac{11}{5 - 2}

Multiply by the conjugate

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

= \frac{11 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

11 (5 + 2) : 115 + 22

Expand

(5 - 2) (5 + 2) : 1

= \frac{11 5 + 22}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 115 + 22

(2 c (x - c))^{3}

\frac{1.001 - 1}{1.001 - 1}

\frac{- 2}{3} - 2

2 x (x + 5) - 3 (x + 5)