Question

Which of the following are common factors between numbers $\sqrt{625-\frac{10000}{25}}$ and $\frac{{10}^2}{4}$

• A. $1$
• B. $5$
• C. $3$
• D. $2$

Answer 1

Answer: (A), (B)

$5$

Given numbers are
$\sqrt{625-\frac{10000}{25}}=\sqrt{625-400}=\sqrt{225}=15$

Other number is
$\frac{{10}^2}{4}=\frac{100}{4}=25$

Here, factors of 25 are $1,5,25$
Factors of 15 are $1,3,5,15$

Hence, common factors between both numbers are $1\&5$