Math, asked by anjuraj, 9 months ago

the least number which must be subtracted from 1774 to make it a perfect square​

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Answered by bs0120867
0

Step-by-step explanation:

Hi there

The problem can be solved using division method of finding square roots.

Check attachment for solving part.

Now,

we got

Quotient =662

Remainder= 663

The least no. that is to be subtracted is the Remainder itself after division.

•°• The least no. that is to be subtracted from 438867 is 662.

The perfect square is 438867-662= 438244

Its square root is the Quotient obtained on division.

√(4398244)= 662

;)

Hope it helps

Comment if you need to clear something.

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The least number which must be subtracted from 438867 to make it a perfect square is 623

A number ending in 2, 3, 7 or 8 is never a perfect square.

Hence, we can say 438867 is not a perfect square as it ends with '7'.

Now if we use long division method to find square root of 438867, we get quotient 662 and remainder of 623.

Therefore, 623 is the least number that must be subtracted from 438867 to make it a perfect square.

438867 - 623 = 438244

is a perfect square.

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