Question

4 अंको की ऐसी सबसे छोटी संख्या ज्ञात करो जो पूर्ण वर्ग हो​

Answer 1

required no. is 32power 2

Answer 2

Answer:

1024

Step-by-step explanation:

Since,

Least number of digits = 1000,

For finding the least perfect square four digit number,

We will follow the following steps,

Step 1 : Write number 1000 under the division sign,

Make pairs of digits from ones place, called periods.

Step 2 : Find a perfect square number less or equal to first period i.e. 10,

We found that 9 < 10 and it is a perfect square number.

Take 3 as the divisor and also as the quotient.

Step 3: Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. So, new dividend is 100.

Step 4: Then, the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, such that the product of the new divisor and this digit is equal to or just greater than the new dividend.  

By following this, remainder = -24, quotient = 32

Hence, the least perfect square four digit number = 1000 + 24 = 1024