Question
Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:
$3\sqrt{18}$
$3\sqrt{18}$
✓
Answer
We have,
$3\sqrt{18}$
$=3\times\sqrt{2}\times3\times3$
$=9\times\sqrt{2}$
Since, the product of a ratios and an irrational is an irrational number.
$=9\times\sqrt{2}$ is an irrational.
$=3\times\sqrt{18}$ is an irrational number.
$3\sqrt{18}$
$=3\times\sqrt{2}\times3\times3$
$=9\times\sqrt{2}$
Since, the product of a ratios and an irrational is an irrational number.
$=9\times\sqrt{2}$ is an irrational.
$=3\times\sqrt{18}$ is an irrational number.
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