1.) Write a perfect
square number of
three-digit & find out
the square root of two
different Methods.
2.) A soldiers them can
be arranged in 9, 12,
& 20 rows but not in
square form. What is
the least numbers by
which the number in
soldiers them is to be
Multiplied so that the
team can be arranged
in a square form?
Answers
Given : a perfect square number of three-digit
To Find : square root by two different method
Solution:
lets take 144 = 12²
to find square root
1st method : factorization :
144 = 2 x 72
= 2 x 2 x 36
= 2 x 2 x 2 x 18
= 2 x 2 x 2 x 2 x 9
= 2 x 2 x 2 x 2 x 3 x 3
= 2² x 2² x 3²
=>√144 = 2 x 2 x3 = 12
long division method
12
144
1 1
_____
044
22 44
_____
0
√144= 12
9 , 12 and 20
9 = 3 x 3
12 = 2 * 2 * 3
20 = 2 * 2 * 5
LCM = 2 * 2 * 3 * 3 * 5 = 180 is least number
= 2² x 3² x 5
To be multiplied with 5 to get perfect square
= 2² x 3² x 5²
= 30²
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