Question

16) Determine if the number is rational (R) or irrational (I)

Answer 1

Given the number:

`√(25)`

You know that:

`25=5^2`

Therefore, you can rewrite the Radicand (the number inside the root) in this form:

`=√(5^2)`

By applying the following Property for Radicals to simplify it:

`\sqrt[n]{b^n}=b`

You get:

`=5`

By definition, Rational Numbers are those numbers that can be written as simple fractions (the ratio of two integers).

Notice that, after simplifying the square root, you get an integer.

By definition, an integer can be written as a fraction with denominator 1. Therefore, you can rewrite the integer obtained as:

`=(5)/(1)`

Therefore, it is a Rational Number.

Hence, the answer is: It is a Rational Number.