Square roots and irrational numbers practice which number is irrational 3/17
The answer is D for 1.
3/17 is a rational number.
To determine if a number is irrational, we need to check if it can be expressed as a fraction or a decimal that either repeats or terminates.
Let's check if 3/17 is irrational:
1. Express 3/17 as a decimal:
3 ÷ 17 = 0.1764705882352941...
2. As we can see, the decimal representation of 3/17 does not terminate or repeat. It continues indefinitely without any pattern.
Based on this, we can conclude that 3/17 is an irrational number.
To determine whether a number is irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.
In the case of the number 3/17, it is expressed as a fraction, so the next step is to determine if it can be simplified.
Since 3 and 17 have no common factors other than 1, the fraction 3/17 cannot be simplified any further.
Therefore, the number 3/17 is considered a rational number, not an irrational number.