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Perfect square or square number - class-VIII
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QuestionClick to flip
Find the value of each of the following, using the column method.
$(23)^2$
$(52)^2$
AnswerClick to flip back
A
529, 2704
💡 Explanation:
$(23)^2$
$a=2, b=3$
| $i$ | $ii$ | $iii$ |
|---|---|---|
| $a^2$ | $2ab$ | $b^2$ |
| $4$$1$ $\underline { 5 }$ | $12$$+0$ $1\underline { 2 }$ | $\underline { 9 }$ |
$\therefore (23)^2=529$
$(52)^2$
$a=5, b=2$
| $i$ | $ii$ | $iii$ |
|---|---|---|
| $a^2$ | $2ab$ | $b^2$ |
| $25$$+2$ $\underline { 27 }$ | $20$$+0$ $2\underline { 0 }$ | $\underline { 4 }$ |
$\therefore (52)^2=2704$