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Mrac [35]
2 years ago
9

The sum or product of a non-zero rational number and an irrational number is always

Mathematics
2 answers:
vazorg [7]2 years ago
8 0
The product of a non-zero rational and an irrational number is always irrational (2)
frosja888 [35]2 years ago
8 0

Answer:

Option 2 - Irrational              

Step-by-step explanation:

To find :  The sum or product of a non-zero rational number and an irrational number is always  

Solution :

By the statement,

→ "The sum of a rational number and an irrational number is irrational."

Example : Let a rational number 3 and irrational number \sqrt{5}

Sum of rational and irrational number

3+\sqrt{5}= 3+2.236067977.....=5.236067977....

5.236067977.... is a irrational number as if you add a non-repeating and non-terminating decimal to a repeating decimal, you will have a repeating decimal.

→ "The product of a non-zero rational number and an irrational number is irrational."

Example : Let a rational number 3 and irrational number \sqrt{5}

Sum of rational and irrational number

3\times\sqrt{5}= 3\times2.236067977.....=6.708203931.....

6.708203931...... is a irrational number as If you multiply any irrational number by the rational number it gives you irrational except zero which is rational.

Therefore, Option 2 is correct.

The sum or product of a non-zero rational number and an irrational number is always  irrational.

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2 years ago
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Step-by-step explanation:

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Answer:

Graph B

No

Inside

Step-by-step explanation:

Let, the number of apples = x and number of peaches = y.

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Thus, x + y ≤ 54.

Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.

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We get, 3000x + 800y ≤ 80,000.

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