Question

what is the least positive integer which , when subtracted from 7300 would make the result a perfect square? explain with the method

Answer 1

Answer:

the least positive integer which, when subtracted from 7300 would make the result a perfect square is 75.

7300-75=7225

85×85=7225

85^2=7225

I hope it is helpful........

Answer 2

Answer:

75 = 7300 - (85)²

Step-by-step explanation:

to find the nearest root we need to calculate the root value of 7300

⇒ $\sqrt{7300}\ = 85.44$

∵ the root of 7300 is 85.44

so we can see here (85.44)² ≈ 7300

here, we can say that the nearest square number will be (85)²

⇒ (85)² = (80 + 5)²

⇒          = 80² + 2 × 80 × 5 + 5²

⇒          = 6400 + 800 + 25

⇒          = 7225

∵ 85² = 7225

now, subtract 7225 from 7300

⇒ 7300 - 7225 = 75

lly

⇒ (86)² = (80 + 6)²

⇒          = 80² + 2 × 80 × 6 + 6²

⇒          = 6400 + 960 + 36

⇒          = 7396

∵ the least positive integer which, when subtracted from 7300 would make the result a perfect square is 75.

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