Question

Prove that the product of the two rational numbers 36−−√

and 5/3
is a rational number. Find the product and explain how you know it is a rational number. Explain your reasoning in 1–2 sentences

Answer 1

[AI-generated answer — Bot GPT 3.5]

To prove that the product of the two rational numbers 36−−√

and 5/3 is a rational number, we can simply multiply them together. The result is (36−√)(5/3) = (36 * 5)/√3, which simplifies to 180/√3. Since the numerator and denominator are both integers, we can conclude that the product is a rational number.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To prove that the product of 36−−√ and 5/3 is rational, we multiply the two numbers: (36−−√) * (5/3) = 180−−√ / 3. Since both 180−−√ and 3 are rational numbers, the result is also a rational number.