Question

√ 441 rational or irrational

Answer 1

it is rational as √441 is the perfect square of 21

Answer 2

Answer:

$\sqrt{441} = \frac{21}{1}\: \left(\frac{p}{q}\:form\right)$

$= Rational \: number$

Step-by-step explanation:

Resolving 441 into product of prime factors, we get

3| 441

______

3| 147

______

7| 49

______

*** 7

$\sqrt{441}= \sqrt{3\times 3 \times 7\times 7}\\=3\times 7\\=21\\=\frac{21}{1}\: \left(\frac{p}{q}\:form\right)$

$= Rational \: number$

Therefore,

$\sqrt{441} = \frac{21}{1}\: \left(\frac{p}{q}\:form\right)$

$= Rational \: number$

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