Question

mustafa thinks of a number. The number is between 100 and 200. The square root of the number is a multiple of 3. What is Mustafa's number​

Answer 1

Hi,

144

Explanation:

Let's say n the number to be found

k is an integer positive.

`100 \leq n \leq 200\\\\100 \leq 9*k^2 \leq 200\\\\(100)/(9) \leq k^2 \leq (200)/(9)\\\\11.1111... \leq k^2 \leq 22.222...\\\\3.333... \leq k \leq 4.71...\\\\3 < k < 5\\\\k=4\\n=9*4^2=9*16\\\\\boxed{n=144}\\`