Question

What is the least Number that should be added to the smallest 6-digit number to make it a perfect square.
A) 289
B)389
C)489
D)589

Please show the solution of the question

Answer 1

hye

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aim :  What is the least Number that should be added to the smallest 6-digit number to make it a perfect square.

=> smallest 6-digit number = 100000

=>now let us find the root of 100000

=>√100000 = 316 . 227.........

now let us round of  316 . 227 to the next perfect square

=>317 [approx]

now,

=>317² = 317 ×317

=>100489

so the perfecst square after 100000 is 100489

=>so the least Number that should be added to the smallest 6-digit number to make it a perfect square , 

=>100489 -100000 

=>489

∴option (c) is the correct answer

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hope it helps u...........

Answer 2

the least 6 digit no. is 100000

if we will had 289, 389, 589. its square roots comes in decimal

if we add 489 it become 100489

its square root is =
√(100,489)
=317