An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers.
Let's evaluate the options you provided:
- -1: This is a rational number as it can be expressed as -1/1.
- 5/29: This is also a rational number, as it is already in fraction form.
- 0.343434: This is a repeating decimal, which can be expressed as a fraction (for example, 343434/1000000) and is therefore a rational number.
- √2/3: The square root of 2 (√2) is an irrational number, and dividing an irrational number by a rational number results in an irrational number. Thus, √2/3 is irrational.
- 87.9821: This is a terminating decimal and can also be expressed as a fraction, making it a rational number.
From the given options, the irrational number is √2/3.
6 answers