What is the simplified form of √45

3√5

Step-by-step explanation:

The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:

√9 × 5

Next, we separate the numbers inside the √ as such:

√9 × √5

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:

3√5

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it