# You are given the numbers √1,815 and √3,025. Are the numbers rational?

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## Question:

You are given the numbers √1,815 and √3,025. Are the numbers rational?

A. Only √ 1,815 is rational B. Only √ 3,025 is rational C. Both numbers are rational D. Both numbers are irrational

The correct option is B) Only √ 3,025 is rational.

Step-by-step explanation:

Consider the provided numbers.

√1,815 and √3,025

The value of √1,815 = 48.60281680…..

The value of √3,025 = 55

Now consider the definition of rational and irrational number.

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.

Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

The number √1,815 is an irrational number as the decimal expansion of numbers is neither terminate nor periodic.

The number √3,025 is a rational number as it is in the form of p/q.

Hence, the correct option is B) Only √ 3,025 is rational.