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Q: Give an example of two irrational numbers whose product is not irrational?

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Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1

root 2 * root 2 = 2

There are no such numbers. The only two numbers that sum to 12 and whose product is -84 are irrational, and so cannot be considered as factors of 84.

37 and 48

Numbers whose product is one is called multiplicative inverses.

1 + sqrt(2) and 3 - sqrt(2) Their sum is 4 Thier product is 1 + 2*sqrt(2)

two prime numbers whose product is 141 = 3 & 47

3 and 7 are prime numbers whose product is 21.

-76 and 76 whose product is -5776.

Any two numbers whose product is '1' are each others' reciprocals.

A single number does not have a product. there are infinitely many pairs (or sets of more numbers) whose product is 21. For example, 210 and 0.1

9

The length of the diagonal of any square whose sides are a whole number of units.

find two positive numbers whose product is a maximum. 1.) the sum is s.

11

67

19

When the numbers are co-prime, ie have no common factor. Simplest example is 2 & 3 whose LCM is 6

17 and 3 are two prime numbers whose sum is 20. Their product is 51.

1x1

333,567,536

There are no such numbers.

There are no two primes whose product is 50.There are no two primes whose product is 50.There are no two primes whose product is 50.There are no two primes whose product is 50.

The three numbers are 2, -3, and 6.

There are no two numbers whose product is 23 and whose sum is 10. 23 is a prime number, and the only numbers whose product is 23 are 23 and 1. A prime number can only be divided by itself and 1.