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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots3 Marks
Question
Show that the following numbers is a perfect square. Also, find the number whose square is the given number in case:
$14641$
✓

Answer

In problem, factorise the number into its prime factors.
$14641=11 \times 11 \times 11 \times 11$
Grouping the factors into pairs of equal factors, we obtain,
$14641=(11 \times 11) \times(11 \times 11)$
No factors are left over. Hence, 14641 is a perfect square. The above expression is already grouped into equal factors,
$14641=(11 \times 11) \times(11 \times 11)$
$14641=(11 \times 11)^2$
Hence, 14641 is the square of 121 , which is equal to $11 \times 11$

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