Question

find the smallest natural number whose square is sum of squares of two natural numbers​

Answer 1

$\bf\pink{QuestioN:-}$

Find the smallest natural number whose square is sum of squares of two natural numbers​.

$\bf\purple{AnsweR:-}$

The required answer is 5.

ExplanatioN:-

5 is the answer.

Square of 5 [ 5^2] = 25

$\blue\longrightarrow\bf{5^2=25}$

$\blue\longrightarrow\bf{25=16+9}$

$\blue\longrightarrow\bf{16=4^2}$

$\blue\longrightarrow\bf{9=3^2}$

That is,

$\blue\longrightarrow\bf{25=4^2+3^2}$

$\blue\longrightarrow\bf{5^2=4^2+3^2}$

Hence 5 is the smallest natural number whose square is sum of squares of two natural numbers, 4 and 3.

Happy Learning!!♥