Question

What is the simplest radical form of √45p^2?

a) 3√5p
b) 5√3p
c) 3√15p
d) 15√3p

Answer 1

The simplest radical form of √45p^2 is 3√15p.

Step-by-step explanation:

The simplest radical form of √45p^2 is option c) 3√15p. To simplify a radical, we need to find the largest perfect square that is a factor of the number under the radical. In this case, 45 can be factored into 3^2 * 5. Since 3^2 is a perfect square, we can take the square root of 3^2 and simplify it to 3.

Therefore, the simplest radical form of √45p^2 is 3√15p.