Question

Q1 find the least number that must be subtracted from 7581 to obtain a perfect square? find this perfect square and its square root?Q2 find the least no that must be added to 7900 to obtain a perfect square?

Answer 1

Heya dear user !!!

Here is your answer,

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Q1.Find the least number that must be subtracted from 7581 to obtain a perfect square? Find this perfect square and it's square root.

Solution :
First find the square root of 7581 by long division method.

.........87
........————
....8 ¦ 7581
.......| -64
....—|————
.167 | 1 1 81
....... | -1 1 69
.——|————
........| -12

Hence the least number is 12, which should be subtracted from 7581 to get a perfect square.
And the required perfect square number = 7581-12 = 7569

Hence, square root of 7581 = 87

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Q2. Find the least number that must be added to 7900 to obtain a perfect square.

Solution :
First, find the square root 7900 by long division method.

............89
..........————
..... 8 ¦ 7900
........ | -64
. ——|————
. 169 | 1 500
.........| - 1 521
. ——|————
........ | -21

Hence, the least number is 21, which should be added to 7900 to make it a perfect square.
And the perfect square number is
= 7900+21 = 7921

Hence, square root of 7921 = 89

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Hope it helps.