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

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

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simplify 5/(2-sqrt(3))

simplify

\frac{5}{2 - 3}

10 + 53

Decimal Notation

18.66025 \dots

Solution steps

\frac{5}{2 - 3}

Multiply by the conjugate

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

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

Expand

5 (2 + 3) : 10 + 53

Expand

(2 - 3) (2 + 3) : 1

= \frac{10 + 5 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 10 + 53

x (x + 2) = - 1 + 3 (x + 2)

x (x - 3) (x + 2) \leq 0

2 - 9

∣ x - 6 ∣ = 3

x^{2} - 15 x + 56 = 0