Question

Determine the square root of sum of square of 24 and 143. Again find out the least number by which the difference of their square will be added to get a perfect square number​

Answer 1

Given :- Determine the square root of sum of square of 24 and 143. Again find out the least number by which the difference of their square will be added to get a perfect square number ?

Solution :-

→ sum = (24)² + (143)² = 21025

now,

→ √(21025) = 145

again,

→ Difference = (143)² - (24)² = 19873

now,

→ √19873 ≈ 140

so,

→ 140² < 19873 < 141² = 19600 < 19873 < 19881

then,

→ Number must be added to get a perfect square number = 19881 - 19873 = 8 (Ans.)

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