Question

Which radical expression is a rational number? A. √ 360 B. √ 644 C. √ 225 D. √ 122

Answer 1

√ 225 s the rational number

Explanation:

Answer 2

For this case, we must indicate which of the given roots is a rational number.

By definition, we have that, a rational number is that which can be represented as the quotient of two integers or an integer and a positive natural. In other words, a common fraction with numerator and denominator other than zero.

We divide:

`\sqrt {360} = 18.97366596, \it\ is\ not\ rational.\\\sqrt {644} = 25.37715508, \it\ is\ not\ rational\\\sqrt {225} = 15,\ is\ rational. \frac {15} {1}\\\sqrt {122} = 11.04536102,\ it\ is\ not\ rational.`

Answer:

`\sqrt {225} = 15`