Question

5605. Is the number a perfect square? what is the least number you need to subtract to make it a perfect square number?​

Answer 1

Answer:

Logical approach

Let's take 4321=a and least number to be added to be b

Then consider √(a+b)=√(4321+b)

Now come to squares of single digit numbers,

We can directly tell 6 is relevent,

6^2=36 => 60^2=3600

Then the perfect square number will have root 60+x,

consider now 61^2=3721

62^2=3844,

...66^2=4356

Now consider 66^2=4356=(a+b) as 66^2>a

a+b=4356

b=4356-4321

b=35.

Step-by-step explanation:

Logical approach

Let's take 4321=a and least number to be added to be b

Then consider √(a+b)=√(4321+b)

Now come to squares of single digit numbers,

We can directly tell 6 is relevent,

6^2=36 => 60^2=3600

Then the perfect square number will have root 60+x,

consider now 61^2=3721

62^2=3844,

...66^2=4356

Now consider 66^2=4356=(a+b) as 66^2>a

a+b=4356

b=4356-4321

b=35.

Answer 2

Answer:

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