Question

say whether (7+√3) (7-√3) is rational or irrational number​

Answer 1

Answer:

(7+√3) (7-√3) = (7)² - (√3)²

= 49-3 = 46

Since 46is rational number

So, (7+√3) (7-√3) is a rational number

Answer 2

Answer:

It is rational

Step-by-step explanation:

Using the identify

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

We can write,

$(7 + \sqrt{3} )(7 - \sqrt{3} ) = {7}^{2} - { (\sqrt{3}) }^{2} \\ = 49 - 3 \\ = 46$

And 46 is a rational number, so

(7+√3)(7-√3) is rational