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
