Question

Which number produces an irrational number when multiplied by 0.25?

A. negative square root 15
B. 0.54713218...
C.0.45
D. square root

Answer 1

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. 

Answer 2

Answer:

A. negative square root 15 and B. 0.54713218...

Step-by-step explanation:

An irrational number is defined as a number that cannot be expressed in a rational form or p/q form where q is not equal to zero.

Now, option A :√(-15)=3.872983346i…….- This is irrational number and also imaginary. When multiplied by rational number, it produces either irrational number or nothing because its imaginary also.

Option B : 0.54713218... is also irrational.

Rational number when multiplied by irrational number always produces  irrational number.