Question

Is the number (5 + √3)(5 − √3) rational or irrational ? Justify.

Answer 1

Answer:

It's rational...

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Answer 2

Answer:

According to identity, (a+b)(a-b)=(a²-b²)

(5 + √3)(5 − √3) is a rational number.

Justification

${5}^{2} - { \sqrt{3} }^{2}$

= 5²- 3........

${ \sqrt{3} }^{2} =3$

=25-3

=22, which is a rational number.

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