Question

485 + 23383 + 4n what is the value of n to make it a perfect square?

Answer 1

4*(5967+n)

find √5967
80^2...6400
79...6241
78...6084
77..5929

so n is 38 or -117

Answer 2

Solution :-

485 + 23383 + 4n = Perfect Square Number

23868 + 4n = Perfect Square Number (Which must be an even number)

Let us check squares of some even numbers which must be more than 23868.

Square of 150 = 22500 (Very much less than 23868)

Square of 152 = 23104 (Very much less than 23868)

Square of 154 = 23716 (Very much less than 23868)

Square of 156 = 24336

Now our equation -

⇒ 23868 + 4n = 24336 (Perfect square of an even number)

⇒ 4n = 24336 - 23868

⇒ 4n = 468

⇒ n = 117

So, value of n is 117

Answer.