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Find two irrational numbers whose product is a rational number?
root 2 * root 2 = 2
Give 2 real numbers whose sum is a rational number and whose product is an irrational number?
1 + sqrt(2) and 3 - sqrt(2) Their sum is 4 Thier product is 1 + 2*sqrt(2)
Which answer choice shows that the set of irrational numbers is not closed under addition?
The set of irrational numbers is not closed under addition because there exist two irrational numbers whose sum is a rational number. For example, if we take the irrational numbers ( \sqrt{2} ) and ( -\sqrt{2} ), their sum is ( \sqrt{2} + (-\sqrt{2}) = 0 ), which is a rational number. This demonstrates that adding certain irrational numbers can result in a rational number, confirming that the set is not closed under addition.
What are the 2 numbers whose product is one called?
Numbers whose product is one is called multiplicative inverses.
One of the two numbers whose product is 1?
Any two numbers whose product is '1' are each others' reciprocals.
What are two irrational numbers whose product is rational?
Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1
Find two irrational numbers whose product is a rational number?
root 2 * root 2 = 2
What are two factors of -84 whose sum is 12?
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.
Give 2 real numbers whose sum is a rational number and whose product is an irrational number?
1 + sqrt(2) and 3 - sqrt(2) Their sum is 4 Thier product is 1 + 2*sqrt(2)
Which answer choice shows that the set of irrational numbers is not closed under addition?
The set of irrational numbers is not closed under addition because there exist two irrational numbers whose sum is a rational number. For example, if we take the irrational numbers ( \sqrt{2} ) and ( -\sqrt{2} ), their sum is ( \sqrt{2} + (-\sqrt{2}) = 0 ), which is a rational number. This demonstrates that adding certain irrational numbers can result in a rational number, confirming that the set is not closed under addition.
What is a real world example of irrational numbers?
The length of the diagonal of any square whose sides are a whole number of units.
What are the 2 numbers whose product is one called?
Numbers whose product is one is called multiplicative inverses.
What number has the product of 21?
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
What are the only 2 prime numbers whose product is 21?
3 and 7 are prime numbers whose product is 21.
What are the two prime numbers whose product is 141?
two prime numbers whose product is 141 = 3 & 47
What are two numbers whose difference is 152 and whose product is a minimum?
-76 and 76 whose product is -5776.
One of the two numbers whose product is 1?
Any two numbers whose product is '1' are each others' reciprocals.
