Which of the following is equal to sqrt. (50(a^6) (b^7))

5 · a³ · b³ · √5b

Step-by-step explanation:

Start with √(50a^6b^7).  Rewrite 50 as the product of the largest possible perfect square and a multiplier:  50 = 25 · 2.  Then √50 = 5√2.

a^6 is already a perfect square, so find its square root:  √a^6 = a^3.

b^7 = b · b^6, so √b^7 = b^3√b

Now rewrite (50(a^6) (b^7)) as √(50a^6b^7).

Then rewrite √(50a^6b^7) as 5√2 · a³ · b³ · √b.

This latter result can be simplified to 5 · a³ · b³ · √5b

This matches possible answer #1.

answer

106 emergencies

step-by-step explanation:

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