Question

Simplify

\[\frac{sqrt{15}}{5}\]

Please show all working

Answer 1

\[\frac{\sqrt{15}}{5}\]

Answer 2

I want to express it as \[\sqrt{\frac{3}{5}}\] but I am not sure how to.

Answer 3

Do you know how to do it @dpaInc

Answer 4

well that wouldnt be simplifying...

Answer 5

\[\sqrt{15}/5\]
\[\sqrt{5*3}/5\]
\[\sqrt{5}*\sqrt{3}/5\]
\[\sqrt{5}*\sqrt{5}*\sqrt{3}/5*\sqrt{5}\]
\[5\sqrt{3}/5\sqrt{5}\]
\[\sqrt{3}/\sqrt{5}\]
\[\sqrt{3/5}\]

Answer 6

this is the process through which u can represent \[\sqrt{15}/5 = \sqrt{3/5}\]

Answer 7

but maybe this can give you a clue ;) \[\sqrt{\frac{3}{5}} \implies \frac{\sqrt 3}{\sqrt 5}\]

now i multiply numerator and denominator by \(\sqrt 5\)
\[\frac{\sqrt 3}{\sqrt 5} \times \frac{\sqrt 5}{\sqrt 5} = \frac{\sqrt{3 \times 5}}{\sqrt{5\times 5}} \implies \frac{\sqrt{15}}{5}\]

Answer 8

hope u got it @purplec16

Answer 9

Perhaps this:
Using the fact that\(\sqrt{25} =5\)
\[\frac{\sqrt{15}}{5} =\frac{\sqrt{15}}{\sqrt{25}} = \sqrt{\frac{15}{25}} = \sqrt{\frac{5\times 3}{5\times 5}} = \sqrt{\frac{3}{5}}\]

Answer 10

Yes, I did Thanks so much everyone!!!