Respuesta :
The answer is C because the only time a square root is irrational is if it is a negative like -16 it is irrational because you can’t have 4^2=4*-4
Answer:
Option: C is the correct answer.
c) both the square root of 0.25 and -the square root of 16 are rational.
Step-by-step explanation:
Rational Number--
A number which could be expressed in the form of p/q where p belongs to integers and q belongs to natural numbers.
and if it could not be expressed as one then the number is called a irrational number.
(1)
\sqrt{0.25}
Now, we can represent it as follows:
[tex]\sqrt{0.25}=\sqrt{\dfrac{25}{100}}\\\\i.e.\\\\\sqrt{0.25}=\sqrt{(\dfrac{\pm 5}{10})^2}\\\\i.e.\\\\\sqrt{0.25}=\pm \dfrac{5}{10}=\pm \dfrac{1}{2}[/tex]
Hence, the number could be expressed in the form of p/q
Hence, the number is a rational number.
2)
[tex]-\sqrt{16}[/tex]
It could be represented as follows:
[tex]-\sqrt{16}=-\sqrt{(\pm 4)^2}\\\\i.e.\\\\-\sqrt{16}=\pm 4[/tex]
Hence, the number is a rational number.
