Which number produces an irrational number when multiplied by 0.25?A. negative square root 15 B. 0.54713218...C.0.45D. square root
Accepted Solution
A:
Answer
√(-15) and
0.54713218…
Explanation
An irrational number is a number that cannot be written as a ratio. That is it cannot be written in the form of a/b, where b ≠ 0.
0.25=25/100. This is a rational number. It can only change to be irrational if it is multiplied with an irrational number.
So, from the choices given which are this irrational numbers?
√(-15)=3.872983346i…….This is irrational and also imaginary
0.54713218…….. This is also irrational
0.45=45/100This is rational.
The square root of 0.25 is 0.5=5/10This is rational.
We are left with √(-15) and 0.54713218… as the answers.