Is the Square Root of 225 Rational or Irrational?
Let us now see whether the Square Root of 225 is Rational or Irrational. For this, we will have to understand what a rational number means.
Rational Numbers
The formal definition of a Rational number is
A number n is called a rational number, if and only if n can be represented in the form of p/q where q ≠ 0.
From the above definition, we can say that any fraction will satisfy the above condition and therefore all fractions will be rational numbers. Note that the denominator and numerator of fractions must be integers and the denominator must not be equal to zero.
Now we know that the square root of 225 is 15. We can write 15 as
15= 15/1
Hence 15 =p/q, where p=15 and q=1.
Since p and q are integers and q ≠ 0
∴15 is a rational number
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Square Root of 225
The square root of any number after exponentiation gives the original value. The square root of 225 is represented using the under root as √225 or it can also be denoted by writing the half power of the number as (225)1/2.
In this article, we will study the value of the square root of 225 and examine two different methods to calculate the square root value of 225. We will also discuss the nature of the square root of 225.
Table of Content
- What is the Square Root of 225?
- Square Root of 225 Calculator
- How to Find the Square Root of 225?
- Square Root of 225 by Long Division Method
- Square Root of 225 by Prime Factorization
- Is the Square Root of 225 Rational or Irrational?
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