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Question Number 147397 by henderson last updated on 20/Jul/21

hmmmm !  11×11=4  22×22=16  33×33=?

$$\boldsymbol{\mathrm{hmmmm}}\:! \\ $$$$\mathrm{11}×\mathrm{11}=\mathrm{4} \\ $$$$\mathrm{22}×\mathrm{22}=\mathrm{16} \\ $$$$\mathrm{33}×\mathrm{33}=? \\ $$

Answered by puissant last updated on 20/Jul/21

Relation..  4=(1+1)×(1+1)  16=(2+2)×(2+2).  ⇒(3+3)×(3+3)=36  donc  11×11=4, 22×22=16 et 33×33=36..

$${Relation}.. \\ $$$$\mathrm{4}=\left(\mathrm{1}+\mathrm{1}\right)×\left(\mathrm{1}+\mathrm{1}\right) \\ $$$$\mathrm{16}=\left(\mathrm{2}+\mathrm{2}\right)×\left(\mathrm{2}+\mathrm{2}\right). \\ $$$$\Rightarrow\left(\mathrm{3}+\mathrm{3}\right)×\left(\mathrm{3}+\mathrm{3}\right)=\mathrm{36} \\ $$$${donc}\:\:\mathrm{11}×\mathrm{11}=\mathrm{4},\:\mathrm{22}×\mathrm{22}=\mathrm{16}\:{et}\:\mathrm{33}×\mathrm{33}=\mathrm{36}.. \\ $$$$ \\ $$

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