Change the expression to a single square root, or its opposite: a) 1/3* √18 b) 5*√a/5 c) 2*√3/4 d) -10*√0.02 e) -1/2*√12x show all your work and answer correctly.

a) √2

b) √(5a)

c) √3

d) -√2

e) -√(3x)

Step-by-step explanation:

This problem set makes use of the relation ...

... a√b = √(a²b)

a) (1/3)√18 = √(18·(1/3)²) = √(18/9) = √2

b) 5√(a/5) = √(25a/5) = √(5a)

c) 2√(3/4) = √(4·3/4) = √3

d) -10√0.02 = -√(100·0.02) = -√2

e) -(1/2)√(12x) = -√(12x/4) = -√(3x)

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