Question

Find the product of (1+372) and (1-372). Is this product rational or irrational?
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Answer 1

rational i.e -138383

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Answer 2

Answer:

The answer is -

Product = (-138383)

Step-by-step explanation:

To find the product as well as it is rational or irrational

= (1 + 372)(1 - 372)

= $(1)^{2} - (372)^{2}$[Using identity $a^{2} + b^{2} = (a + b)(a - b)$, to make the multiplication easy]

= 1 - 138384(372 X 372 = 138384)

= -138383 [Product]

-138383 is a rational number

Extra

Definition of rational number

Rational number = The number which can be expressed in the p/q form and it has terminating or non-terminating but repeating(recurring) decimal expansion

And,

rational numbers includes integers,fractions and decimals

-138383 is an integer as well as can be expressed in the p/q form[i.e.$\frac{-138383}{1}$]