Question

is (3-√3)(3+3√3) a:-
i) a rational number
ii) an irrational number
iii) non terminating but repeating
pls help​

Answer 1

Answer:

a irrational number .............

Answer 2

Answer:

$(3 - \sqrt{3} )(3 + 3 \sqrt{3} ) \\ \\ = 9 + 9 \sqrt{3} - 3 \sqrt{3} - 3( \sqrt{3} )^{2} \\ \\ = 9 + 6 \sqrt{3} - 3 \times 3 \\ \\ = 9 + 6 \sqrt{3} - 9 \\ \\ = 6 \sqrt{3}$

option (2) = irrational number. ✔✔

hope it helps