Question

the square root of 4m²-24m+36 Is​

Answer 1

Answer: ±(m-3)

Step-by-step explanation:

The given equation is $4m^2-24m+36$.

So, divide it throughout by 4, we get-

$m^2-6m+9$

If you observe it is of the form $a^2-2ab+b^2$

which is the expansion of $(a-b)^2$

where $a=m$ and $b = 3$.

Therefore, $m^2-6m+9=(m-3)^2$

So, now we can simply take square root,

$\sqrt{(m-3)^2} =$ ±$(m-3)$

Hence, square root of $4m^2-24m+36$ is ±$(m-3)$

Hope it helps.