Question

Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square.

Answer 1

• 21
• Resultant number is perfect square of 39 .

To Find :- The least number that must be added to 1500 so as to get a perfect square.

Solution :-

finding square root of 1500 by long divison method first we get :-

→ 15 - 00 { Making pairs of two from right side }

Now,

) 15 - 00 (

upto 15 we can go to square of 3 as 3² = 9 and square of 4 is greater than 15 .

So,

3 ) 15 - 00 ( 3

- 9

6

now taking next pair with remainder 6 and multiply the quotient by 2 .

→ 600

→ 3 × 2 = 6

then,

6_ ) 600 (

now, checking upto which square with 6 we can go upto 600 .

→ 68 × 8 = 544 < 600

→ 69 × 9 = 621 > 600

therefore, taking 68

68 ) 600 ( 8

-544

56

hence, we can conclude that,

→ 38² < 1500 < 39²

→ 1444 < 1500 < 1521

since we need to find the least number that must be added to make a perfect square .

so,

→ Required number = 1521 - 1500 = 21 (Ans.)

Also, the square root of the perfect square number 1521 is equal to 39 .

Learn more :-

find the expanded form of 253.147

https://brainly.in/question/29654250

(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

(स)884.20

(ब) 534.34

(द) 178.34

https://brainly.in/question/37666224