Find the least number that has to be added to 54,725 to make it a perfect square. Also find the square root of the perfect squares so obtained.
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Answer:
Q.Find the least number to be added to get
a perfect square 123456
Sol
n
First we find
123456
by division method
9<12<16
3
2
<12<4
2
62×2=124
63×3=189
65×5=325
66×6=396
702×2=1404
hence (51)62<123456<(352)
2
we calculate (352)
2
−123456
=123904−123456
=448
hence least number to be added to get a
perfect square is 448.
since 123456+448=123904=(352)
2
Step-by-step explanation:
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