Select all of the equations that are equivalent to

The options 2√20 and 4*5^(1/2)  and 3*5^(1/2) + 5^(1/2) are the only expressions that are equivalent to 4√5

Step-by-step explanation:

We will factorise and simplify each term to get 4√5 in the end:

a) 2√20

   2√5*4

   2√5√4

   2*2√5    Because √4 = 2

   4√5

b)6^1/2 +5^1/2

  √6 + √5

  √2√3 + √5

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

   3*√5 + √5

   √5 (3*1 + 1)

   √5 (3 + 1)

   √5 (4)

   4√5

d) 4*5^(1/2)

  4√5       Because any integer with power 1/2 = √

e) 2√10

   2√5*2

   2√5√2

f)  3*5^(1/2)

  3√5

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.