x + y = 8 + 5.12 = 13.12 which is irrational. These two examples clearly explains that the addition of a rational and an irrational number leads to an irrational number. Hence, x + y is an irrational number.
1)√196=14 so it's rational
2)3√18 irrational Since, the product of a rational and an irrational number is always an irrational number. Therefore, 3√18 is an irrational number.
3)√9/27 is irrational Since, √9/27 = 1/√3, as the quotient of a rational and an irrational number is an irrational number. Therefore, √9/27 is an irrational number.
4)√28/√343 is rational We can write it as
= √(2 × 2 × 7)/ √(7 × 7 × 7)
So we get
= 2√7/ 7√7
= 2/7
Which is a rational number.
5) -√0.4 is irrational i think
6) √12/√75 is rational because We can write it as
= √4 × 3/ √25 × 3
So we get
= 2√3/ 5√3
= 2/5
Which is a rational number
7)0.5918 is rational because it is terminating nad non repeating
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Answer:
x + y = 8 + 5.12 = 13.12 which is irrational. These two examples clearly explains that the addition of a rational and an irrational number leads to an irrational number. Hence, x + y is an irrational number.
1)√196= 14 so it's rational
2)3√18 irrational Since, the product of a rational and an irrational number is always an irrational number. Therefore, 3√18 is an irrational number.
3)√9/27 is irrational Since, √9/27 = 1/√3, as the quotient of a rational and an irrational number is an irrational number. Therefore, √9/27 is an irrational number.
4)√28/√343 is rational We can write it as
= √(2 × 2 × 7)/ √(7 × 7 × 7)
So we get
= 2√7/ 7√7
= 2/7
Which is a rational number.
5) -√0.4 is irrational i think
6) √12/√75 is rational because We can write it as
= √4 × 3/ √25 × 3
So we get
= 2√3/ 5√3
= 2/5
Which is a rational number
7)0.5918 is rational because it is terminating nad non repeating
8)
Step-by-step explanation:
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