SOLUTION: (rs) radical sign simplify (rs)75a^2/(rs)5

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Question 59689: (rs) radical sign
simplify
(rs)75a^2/(rs)5
Found 2 solutions by chitra, gsmani_iyer:
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

rs(75 a^2)/ rs(5)

75 can be written as 25 * 3

==> rs(25 * 3 * a^2)/rs(5)

==> [rs(25) * rs(3 * a^2)]/ rs(5) {splitting of the radicals}

==> [5 * rs(3) * rs(a^2)]/ rs(5)

{splitting of the radicals and rs(25) = 5}

==> [5 * rs (3) * a ]/ rs(5) {rs(a^2) = a}

==> 5a* rs(3)/ rs(5)

We know that 5 can be written as - rs(5)* rs(5)

Therefore, the above expression can be further simplified as:

==> [rs(5) * rs(5)* a * rs(3)]/ rs(5)

==> [rs(5)* a * rs(3)]

{rs(5) gets cancelled both in the numerator and denominator}

==> rs(15) * a {By Multiplying radicals}

==> rs(15) * a

is the solution to the given problem.

Regards,
Chitra

Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2875a%5E2%29%2F%28sqrt%285%29%29 = sqrt%285%29%2Asqrt%2815a%5E2%29%2Fsqrt%285%29 = sqrt%285%29%2Aa%2Asqrt%2815%29%2Fsqrt%285%29 = cross%28sqrt%285%29%29%2Aa%2Asqrt%2815%29%2Fcross%28sqrt%285%29%29 = a%2Asqrt%2815%29 Answer.

I hope this is clear to you.