For each sum or product, determine whether the result is a rational number or an irrational number. Then choose the appropriate reason for each. Result is Result is Rational Irrational Reason (a) 2 + 21 (Choose one) The sum of two rationals is always rational. 10 5 + The sum of a rational and an irrational is always irrational. (b) 19 13 The sum of two irrationals is sometimes rational, sometimes irrational. The product of two rationals is always rational. The product of a nonzero rational and an irrational is always irrational. The product of two irrationals is sometimes rational, sometimes irrational. (Choose one) (Choose one) (c) (d) 14 x 18 9 15 x - 16 O O

Q: ²- 2x² -x 2x 2x

A: Explanation of the solution is given below...

Q: Find the sum of 2√5 and 3√16 in simplest form. Also, determine whether the result is rational or…

A: Given,         The sum of 25 and 316.

Q: 5-2a>2a-1 or 10a>9a+9

A:

Q: What are the rational numbers?

A: we have to define the rational number.

Q: The sum of any two rational numbers is rational work this poblem out with step and why.

A: Let A and B are two rational numbers such that A=pq, q≠0 and B=rs, s≠0 Find the value of A+B

Q: 오+ x+3

A: we find the domain of this function

Q: Suman and Kashish add and subtract -1 and -6. Suman claims that they can add and subtract the…

A: The given integers are -1 and -6  add them -1+-6=-7 change the order and again add -6+-1=-7 the…

Q: Consider the V2,-3.14, 1, 0.45 , (-0.3)³ , V-64 ,3- Write down a. the irrational numbers b. the…

A: Irrational number: All real number that are not rational, is called irrational number.   Irrational…

Q: The arrow on the number line below represents which rational number? 2 3 2.1 2.2

A: In between 0 to 1, there are 5 divisions. So, the first division is 15 = 0.2Second division is 25,…

Q: The equation (2cos 0-177)(1) = 2cos0 -17n is an example of which property of real numbers? A…

A: According to question given that 2cos-1θ-17π1=2cos-1θ-17π

Q: 1+2+3+......+100

A: Concept Used: Arithmetic Progression : If S=1+2+3+.......+n then first term of the sum is 1 and last…

Q: + - ..+(-1)28 . ) 28_728 15

A: The given series sum is 1-71+491-…+-128728128. The first term of the above series is 1 which can be…

Q: (a Use the series for arctan(x) to write the first four nonzero terms and the general term of the…

A:

Q: Is -3 a integer, rational, irrational or real number?

A: We have to find

Q: 2] b) If A = [a+b 3] and B = -1 1 [2a + 3b 3] then, A = B only if a = -3, b = 4.

A: we need to find out the true or false.

Q: simplfy (4-3√ 7)(√ 7+1)

A:

Q: An apple pie of 2.3 pounds serves 6 people. If you could increase the weight by an additional 7…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: 2-6 2-3x X-2 X-2

A: Explanation of the solution is given below...

Q: -3m + 2+2 > 10 +6

A: