Question

Find the least number be subtracted from 5607 so as to get a perfect square also find the square root of the perfect square

Answer 1

Least no. Is 623.
If wrong then tell me right.

Answer 2

Hi there!
Here's the answer:

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Type of problem:

Find the least number be subtracted from a number so as to get a perfect square also find the square root of the perfect square.


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Approach to problem:

• Use division method of finding square roots.
• The remainder is the number that is to be subtracted from the number to get a perfect square.
• The square root of the resultant perfect square is the quotient obtained in the division itself.

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Now,

…7 | 56 07 | 74
…7 | 49
-------------------------
144 | 707 |
…….| 576 |
--------------------------
………( 131 ) ………

•°• No. should be subtracted from 5607 to make it a perfect square is 131
=> 5607 - 131 = 5476

& square root of this number is the quotient itself
•°• √5476 = 74

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:)

Hope it helps