wa1 notes

q2 a) write 540 as a product of its prime factors in index notion

method: do factor tree.

solution: 540= 2 x 3 x 5 x 2 x 3 x 3 = $2^2 x 5 x 3^3$

q2 b) : is 540 a perfect square? explain ^^using your answer in part a).^^

ans: no, 540 is not a perfect square. 540 = 2^2 x 5 x 3^3 and the number 5 cannot be square rooted, hence it is not a perfect square.

q2c) ==(got q wrong):==

WRONG METHOD: ~~540 = 2^2 5 x 3^3~~

~~2^2 x 5 x 5 x 3^3 x 3 = 8100~~

~~8100 ÷ 540 = 15~~

~~ans: 15~~

method: cube each number

solution: 540 = 2^2 x 3^3 x 5

$x = 2 x 5^2 = 50$

ans= $50$