Question

3√18 identify the following as irrational or rational​

Answer 1

Answer:

$3\sqrt{18}\: is\: an\: "irrational\; number"$

Step-by-step explanation:

Given Problem:

3√18 identify the following as irrational or rational​.

Solution:

To Do:

Identify that is 3√18 is rational or irrational.

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Rational number:

The number which can be written as a ratio of two integers they called Raational Numbers.

Irrational number:

The number which  cannot be written as a ratio of two integers they are called Irrational Numbers.

Method:

$3\sqrt{18} \quad = \quad3\sqrt{9 \times\ 2}$

$3\sqrt{9} \quad \times\sqrt{2}$

$3\sqrt{3 \times 3} \quad \times\sqrt{2}$

$3 \quad \times \quad 3 \quad\sqrt{2}$

$\implies 3\sqrt{18} \quad= 9\sqrt2}$

Hence, It cannot be written in as a ratio of two integers so it is Irrrational number.

Answer 2

Answer:

3√18 is an irrational number.