Question

Which choice is equivalent to the product below when x > 0?

45
O A.
OB.
xo
O D.
x|m
O C. 1/3
610
SU

Answer 1

C

Explanation:

using the rules of radicals

•
`√(a)` ×
`√(b)` =
`√(ab)`

•
`\sqrt{(a)/(b) }` =
`(√(a) )/(√(b) )`

given

`\sqrt{(5)/(x^2) }` ×
`\sqrt{(x^2)/(45) }`

=
`\sqrt{(5)/(x^2)((x^2)/(45)) }` [ cancel the x² term on numerator/ denominator ]

=
`\sqrt{5((1)/(45)) }` [ cancel 5 and 45 by 5 ]

=
`\sqrt{(1)/(9) }`

=
`(√(1) )/(√(9) )`

=
`(1)/(3)`