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