Question

What is the simplified form of

Answer 1

\[3*\sqrt{5c}*\sqrt{15c^3} = 3*\sqrt{5c*15c^3} = 3*\sqrt{5*5*3*c^4} = 3*5*\sqrt{3*(c^2)^2} = ?\]

Answer 2

???

Answer 3

3*(5c)^(1/2) * (15c^3)^(1/2)

= 3*(5c*15c^3)^(1/2)

= 3*(5^2*3*c^4)^(1/2)

// sqrt(5^2) = 5
// sqrt(c^4) = sqrt((c^2)^2) = c^2

so you get

= 3*5*c^2*(3)^(1/2)

// done, now you just have to simplify