Question

define an irrational number in term of decimal expansion . identify wether 3× √3 is irrational or not . give reason​

Answer 1

Answer:

A number which is not rational is called an irrational number. We know that any rational number will have either terminating decimal expansion or a non terminating recurring decimal expansion. Hence, an irrational number is a number which contains non-terminating and non-recurring decimal expansion.

the root of 3 is an irrational number because it is neither terminating nor recurring

Step-by-step explanation:

Answer 2

⇒Given:

Define an irrational number in terms of decimal expansion. Identify whether 3× √3 is irrational or not. Give reason​

⇒To Find:

Whether 3×√3 is Rational or irrational.

___________________________

⇒Explanation:

According to the given chart, to find which number is rational, and which is not. We can simply say that the given number is not rational, which means it's irrational. But, we have to give a good reason here. So, let's continue further towards our final answer.

⇒Final Answer:

Here, after multiplying root 3 from 3 we will get 3√3.

As we know, that the given number is neither a whole number nor an integer. We can say that 3√3 or 3×√3 is an irrational number.

Thus, 3×√3 is $\mathbb {IRRATIONAL}$

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