Question

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

Please show all your work and answer correctly.

Answer 1

a) √2

b) √(5a)

c) √3

d) -√2

e) -√(3x)

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)

Thank me!

Answer 2

a) √2

b) √(5a)

c) √3

d) -√2

e) -√(3x)

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)