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

asked Dec 14, 2022 23.2k views

24 votes

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8 votes

Answer:

Explanation:

Using the rules of radicals

$\sqrt{(a)/(b) }$ =
(√(a) )/(√(b) )

Given

$\sqrt{(2)/(x) }$ ×
$\sqrt{(x^2)/(8) }$

=
$\sqrt{(2x^2)/(8x) }$ ← cancel 2 and 8 and x² and x

=
$\sqrt{(x)/(4) }$

=
(√(x) )/(√(4) )

=
(√(x) )/(2) → B

Cortes answered Dec 21, 2022

7.8k points

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