Question

Is the number (5 + root 3)(5-root3) a rational number or irrational number​

Answer 1

Answer:

rational number.

Step-by-step explanation:

(5 + root 3)(5-root3)

it is in the form of (a + b)(a - b)

we know, (a + b)(a - b) = a^2-b^2

so, 5^2-(√3)^2

=》25-3

=22.

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. 

Answer 2

we know that or we should be knowing that

(a+b)(a-b)=a²-b²

applying the above identity in the question

(5+√3)(5-√3)

=5²-(√3)²

=25-3

=22

since 22 is terminating and non repeating therefore we can say that the expression or the result of the expression (5+√3)(5-√3) is a rational  number.

hope this helps.