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Square Root and Cube-Cube Root — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare Root and Cube-Cube Root1 Mark
Question
There are ________ natural numbers between $n^2$ and $(n + 1)^2$
✓

Answer

There are $2n$ natural numbers between $n^2$ and $(n + 1)^2$
Solution:
Nature numbers between $n^2$ and $(n + 1)^2= [(n + 1)^2- n^2] - 1$
$= [n^2+ 2n + 1 - n^2] - 1$
$= 2n + 1 - 1 = 2n$

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