Question

Select all of the equations that are equivalent to

Answer 1

Answer:

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