Question

How do I express the letters in bracket as the subject of the formula ?

especially the 1/2 power is new and unfamiliar to me. ​

Answer 1

`n = 144m^2 - 1`

Explanation:

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FACTS TO KNOW BEFORE SOLVING :-

• Let x be a number. ⇒
  `x^{(1)/(2)}` can also be written as
  `√(x)`.

• To make any variable the subject of any formula , we need to isolate it.

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According to the question ,

`3m = \frac{(n + 1)^{(1)/(2) }}{4}`

Lets multiply both the sides by 4.

`=> \frac{(n + 1)^{(1)/(2) }}{4} * 4 = 3m * 4`

`=> (n + 1)^{(1)/(2) } = 12m`

It can be also written as :-

`=> √((n + 1)) = 12m`

Lets square both the sides.

`=> [√((n + 1)) ]^(2) = (12m)^(2)`

`=> n + 1 =144m^2`

`=> n = 144m^2 - 1`