Question

is $sqrt{72}$ an irrational number?
yes no
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Explanation:

Step1: Simplify the square root

$\sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6\sqrt{2}$

Step2: Identify nature of $\sqrt{2}$

$\sqrt{2}$ is an irrational number, and multiplying a non-zero rational number ($6$) by an irrational number results in an irrational number.

Answer:

yes