Question

Classify if this number is real irrational rational integer whole and natural. Square root of 25/100

Answer 1

Answer:

Real and Rational

Step-by-step explanation:

Given number:

$\sqrt{\frac{25}{100}}$

To classify the given number as, real, irrational, rational, integer, whole and natural.

Solution:

Simplifying the given number:

⇒ $\frac{\sqrt{25}}{\sqrt{100}}$    [As $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$  ]

⇒ $\frac{5}{10}$        [Evaluating square roots]

⇒ $\frac{5\div 5}{10\div 5}$ [Reducing fractions by dividing numerator and denominator by GCF of them]

⇒ $\frac{1}{2}$

Thus $\sqrt{\frac{25}{100}}$ is equivalent to $\frac{1}{2}$

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.