Question

How do I reduce 5*sqrt(3)/10*sqrt(5)?

Answer 1

sqrt(3)/2*sqrt(5)? or sqrt(15)/10

Answer 2

\[\frac{5\sqrt 3}{10\sqrt 5} = \frac{\sqrt 3}{2\sqrt 5}\]
now rationalize by multiplying numerator and denominator by sqrt 5

\[\frac{\sqrt 3 \times \sqrt 5}{2\sqrt 5 \times \sqrt 5}\]
\[\frac{\sqrt{15}}{2(5)} = \frac{\sqrt{15}}{2\sqrt{10}}\]

got it @Leaper

Answer 3

\[5\sqrt{3}/10\sqrt{5} = \sqrt{3}/2\sqrt{5}\]
Now you can rationalise it by multiplying and diving by Square root of 5..

You will get :
\[(\sqrt{3} \times \sqrt{5}) / (2\sqrt{5} \times \sqrt{5}) = \sqrt{15}/10\]
Answer is :
\[\sqrt{15 }/ 10\]

Answer 4

@lgbasallote, there should come 10 in the denominator in the answer and not 2root10...
Am I right in saying that???