simplify in radical form by rationalizing the denominator?

Question

2 Sqrt (2+1) / -5 Sqrt (2+3)

Answer 1

NB! sqrt(x)=x^½
2*(2+1)^½ / -5*(2+3)^½<=>
( 2*(3)^½*(5)^½ )/(-5*5)<=>
( -2*(3*5)^½ )/25<=>
( -2(15)^½ )/25<=>
-2( 3*5/5*5*5*5)^½<=>
-2(3/5*5*5)^½= -sqrt(3/5)*2/5
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Answer 2

2 Sqrt (2+1) / -5 Sqrt (2+3) =
-(2sqrt(15))/25

Answer 3

Rewrite: (2√3)/(-5√5)

Multiply top & bottom by √5: (2√15)/-25

Answer 4

2sqrt(15)/-25