Question

How to simplify:
√c (3 + 2√5)
I got 5√5c but it said that was wrong, so I'm not sure where I've messed up.

Answer 1

u mean\[\sqrt{c(3+2\sqrt{5})}\] ?

Answer 2

If you distirbute "c," you get: SQRT(3*c + 2*c*SQRT(5))

Answer 3

You cannot add a non-radical term to a radical term. so the 3 stays separate from the 2rad5.

Answer 4

All you can do is multiply the expression on the outside to each of the two terms on the inside.

Answer 5

The equation is unclear. Is it the square root of just "c," or is it the square root of the entire equation?

Answer 6

The attachment shows what I see as the problem and the solution.