Question

Jillian said V25 is irrational because it is a square root. Why is she incorrect?​

Answer 1

Answer:

√25

= √( 5 x 5 )

= 5

√25 = 5

5 is an rational number, not an irrational number.

Answer 2

                 $\rule{50}{1}\large\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}$

              Jillian said, "√25 is irrational because it's a square root!" Why is

she incorrect?

    $\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

    First let's see if we can simplify √25.

     We can, by using either our calculator or our brains.

       Anyway, √25=5 (5×5=25)

 

Now, let's take a look at what irrational numbers are.

            $\dagger$ Irrational numbers. This set includes numbers with an infinite

           number of digits after the decimal point. Irrational numbers

           cannot be expressed as fractions (p/q form)

Can $\LARGE\textbf{5}$ be expressed as a fraction? Sure!

This is how it's done:-

• Simply give it a denominator of 1:-

$\Large\text{ \displaystyle\frac{5}{1} }$

As you can see, 5 is not irrational.

• Henceforth, we conclude that $\Large\text{ \sqrt{25} }$ is not irrational.

 Good luck with your studies.

            $\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}$