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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

Verified Answer :

Pramerios

A rational number is an integer that either doesn't have a decimal or has a decimal that either repeats or terminates (ends). Basically, if these square roots come out to be an integer, they're rational. 
The first one comes out to be 42.6028168083, so obviously not rational.
The second one comes out to be 55, so it is rational.
B is your answer.

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Answer:

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.

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