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

The solution to (5sqrt(3))/(2-sqrt(3)) is 10sqrt(3)+15

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

simplify

\frac{5 3}{2 - 3}

103 + 15

Decimal Notation

32.32050 \dots

Solution steps

\frac{5 3}{2 - 3}

Multiply by the conjugate

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

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

Expand

5 (2 + 3) : 10 + 53

Expand

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

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

Apply the fraction rule:

\frac{a}{1} = a

= (10 + 53) 3

(10 + 53) 3 = 103 + 15

= 103 + 15

- 8 x (x - 8) - 3 (8 + 5 x)

(- 8 n^{2} - n + 7) (5 n + 4)

\frac{345}{9}

(- 7 x)^{2}

x^{2} - 9

What is (5sqrt(3))/(2-sqrt(3)) ?
The solution to (5sqrt(3))/(2-sqrt(3)) is 10sqrt(3)+15