Answer:
Real and Rational
Step-by-step explanation:
Given number:
[tex]\sqrt{\frac{25}{100}}[/tex]
To classify the given number as, real, irrational, rational, integer, whole and natural.
Solution:
Simplifying the given number:
⇒ [tex]\frac{\sqrt{25}}{\sqrt{100}}[/tex] [As [tex]\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}[/tex] ]
⇒ [tex]\frac{5}{10}[/tex] [Evaluating square roots]
⇒ [tex]\frac{5\div 5}{10\div 5}[/tex] [Reducing fractions by dividing numerator and denominator by GCF of them]
⇒ [tex]\frac{1}{2}[/tex]
Thus [tex]\sqrt{\frac{25}{100}}[/tex] is equivalent to [tex]\frac{1}{2}[/tex]
We can say the given number is a rational number as it represents a fraction of two integers.
It is also a real number as all numbers are real.
