Question

What is the square 16/15 in simplest radical form?

Answer 1

Answer:

To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.

So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).

To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).

This can be rewritten as:

sqrt(6•5)/sqrt(5•5)

= sqrt30/sqrt25

Now, sqrt25 = 5, so that problem is solved as such:

sqrt30/5

I'm thinking sqrt30 can't be simplified any further. If it can, do so.

Hope this helps!

Step-by-step explanation: