To prove that the product of 36−−√ and 53 is a rational number, we can multiply the two numbers and show that the result can be expressed as a fraction. The product of 36−−√ and 53 is 1908−−√, which can be written as the fraction 1908/1. Therefore, it is a rational number.
To prove that the product of the two rational numbers 36−−√ and 53 is a rational number, let's multiply them together. The product is (36−−√) * 53 = 1908−−√. Since both 36 and 53 are rational numbers, their product 1908 is also a rational number. Additionally, square root of any rational number is rational, so 1908−−√ is rational. Hence, the product of the two rational numbers is a rational number.
