Question

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

Answer 1

Real and Rational

Explanation:

Given number:

`\sqrt{(25)/(100)}`

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

Solution:

Simplifying the given number:

⇒
`(√(25))/(√(100))` [As
`\sqrt{(a)/(b)}=(√(a))/(√(b))` ]

⇒
`(5)/(10)` [Evaluating square roots]

⇒
`(5/ 5)/(10/ 5)` [Reducing fractions by dividing numerator and denominator by GCF of them]

⇒
`(1)/(2)`

Thus
`\sqrt{(25)/(100)}` is equivalent to
`(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.