Question

Select all of the equations that are equivalent to

Answer 1

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

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