Question

Which expression is equivalent to 432‾‾‾√·2‾√ ?
a. 162‾√
b. 32
c. 16
d. 42‾√

Answer 1

To simplify the expression 432√·2√, we can multiply the numbers outside the radicals and the numbers inside the radicals separately. The equivalent expression is 864√.

Step-by-step explanation:

To simplify the expression 432√·2√, we can multiply the numbers outside the radicals and the numbers inside the radicals separately.

Based on the expression, the number outside the first radical is 432 and the number outside the second radical is 2.

The number inside the first radical is the square root of 432 and the number inside the second radical is the square root of 2.

Multiplying these separately, we get:

432√·2√ = (432)(2)√·√ = 864√.

Therefore, the equivalent expression is 864√.