Question

(5-root3)(5+root3) is an irrational number. Is it true or false

Answer 1

Answer:

$(5 - \sqrt{3} )(5 + \sqrt{3} ) \\ = {5}^{2} - { \sqrt{3} }^{2} \: \: \: \: \: \: \: \: \: \: \: \: (a + b)(a - b) = {a}^{2} - {b}^{2} \\ = 25 - 3 \\ = 22$

Hence it is not a irrational no.

Answer 2

Answer:

false

Step-by-step explanation:

because,

(5-√3)(5+√3)

=25+5√3-5√3-√3√3

=25-3

=22

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