Question

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

Answer 1

√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{$\displaystyle(5)/(1)$}`

As you can see, 5 is not irrational.

• Henceforth, we conclude that
  `\Large\text{$√(25)$}` is not irrational.

Good luck with your studies.

`\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}`