Example 12 - Chapter 6 Class 8 Squares and Square Roots

Transcript

Example 12Find the least number that must be added to 1300 so as to get aperfect square. Also find the square root of the perfect square.Finding square root of 1300 by long division Here, Remainder = 4 Since remainder is not 0, So, 1300 is not a perfect square Rough 65 × 5 = 325 66 × 6 = 396 67 × 7 = 469 We need to find the least number that must be added to 1300 so as to get a perfect square Now, Thus, we add 372 – 1300 to the number ∴ Number to added = 372 − 1300 = 1369 – 1300 = 69 Thus, Perfect square = 1300 + 69 Let’s check Thus, we add 69 to 1300 to get a perfect square. Perfect square = 1369 & Square root of 1369 = 37 Let’s check Thus, we add 69 to 1300 to get a perfect square. Perfect square = 1369 & Square root of 1369 = 37 Rough 65 × 5 = 325 66 × 6 = 396 67 × 7 = 469