Question

landon wants to show that the product of rational numbers is always a rational number. complete his work and explanation by filling in the boxes with values that support his conclusion​

Answer 1

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Step-by-step explanation:

As Landon has to prove that two product of two rational numbers, he has to choose two rational numbers from the list and then multiply and show that the product is also a rational number.

Let us define the rational numbers first

A number that can be written in the form of p/q where p,q are integers and q is not equal to zero, is called a rational number.

From the give =n list of rational numbers

Taking

√2 and √72

$\sqrt{2} * \sqrt{72}\\=\sqrt{2*72}\\=\sqrt{144}\\=12\\=\frac{12}{1}$

As we can see that the product of √2 and √72 is 12 which is also a rational number.

So,

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Keywords: Rational numbers, Product

Learn more about rational numbers at:

• brainly.com/question/10879401
• brainly.com/question/10940255

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