Question

Which one of the following is not rational number option A log 9 base 10 option b 5.32 bar option C 143. 12 option d 10 by 18

Answer 1

Option a -- log 9 base 10 not a rational number

• Rational numbers are obtained by the ratio of 2 integers and the ratio has a definite value. Example → 3/2 = 1.5 is a rational number. Rational numbers can be both integers and decimals.
• Irrational numbers are obtained when the ratio of 2 integers does not provide us a definite value. Example → π, e. Irrational numbers are always decimals.

The value of log 9 base 10 simplified to 3 decimal points is 0.954 but its extended form is 0.9542425094393249 (up to 16 decimal places). This also doesn't provide us with the entire value. Hence, log 9 base 10 is an Irrational number.