Answer:
[tex]n = 144m^2 - 1[/tex]
Step-by-step explanation:
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FACTS TO KNOW BEFORE SOLVING :-
- Let x be a number. ⇒ [tex]x^{\frac{1}{2}}[/tex] can also be written as [tex]\sqrt{x}[/tex].
- To make any variable the subject of any formula , we need to isolate it.
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According to the question ,
[tex]3m = \frac{(n + 1)^{\frac{1}{2} }}{4}[/tex]
Lets multiply both the sides by 4.
[tex]=> \frac{(n + 1)^{\frac{1}{2} }}{4} \times 4 = 3m \times 4[/tex]
[tex]=> (n + 1)^{\frac{1}{2} } = 12m[/tex]
It can be also written as :-
[tex]=> \sqrt{(n + 1)} = 12m[/tex]
Lets square both the sides.
[tex]=> [\sqrt{(n + 1)} ]^{2} = (12m)^{2}[/tex]
[tex]=> n + 1 =144m^2[/tex]
[tex]=> n = 144m^2 - 1[/tex]
