ANSWER.
The correct answer is Option A
EXPLANATION.
The real number

to 9 decimal places.
You can see that the decimals are not repeating, neither will they terminate.
Therefore the real number
is irrational because, the decimal does not terminate or repeat
Also note that,
.
That is,
is a product of two irrational numbers, which still gives an irrational number.
4 units out of 9 total units = 4/9
Answer: d
You use division
over 2 or 4 or 3 or 5 or 7 and so on
in this case 2 is good
64 = 2 * 2 * 2 * 2 * 2 * 2 ( use division) = 2^6
16 = 2 * 2 * 2 * 2 = 2^4
number reminder
64 0
32 0
16 0
8 0
4 0
2 0
1 1
so 64 = 2^6 (number of zeros) no reminder