Question

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?
StartRoot 11 EndRoot times StartRoot 11 EndRoot
4.7813265 ellipsis times StartRoot 5 EndRoot
Pi times 3.785492 ellipsis
StartRoot 21 EndRoot times pi

Answer 1

Answer:

$\sqrt{11} * \sqrt{11}$

Step-by-step explanation:

Let us find the product of the options and see which number is rational:

Option A

$\sqrt{11} * \sqrt{11}$

When the square root of a number multiplies itself, the result is that number. Therefore:

$\sqrt{11} * \sqrt{11}\\\\\sqrt{11 * 11} \\\\= \sqrt{121} = 11$

This is a rational number.

Option B

4.7813265 * $\sqrt{5}$

= 10.6913710766211

This is not a rational number.

Option C

π * 3.785492

= 11.8924738574229

This is not a rational number

Option D

$\sqrt{21} * \pi$

= 14.3965861377924

This is not a rational number.

Therefore, the correct answer is $\sqrt{11} * \sqrt{11}$

Answer 2

Answer:

(A)  √11 x √11

Step-by-step explanation:

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