999996

999936

• SOLUTION : The greatest number of 6 digits = 999999.
• First, we need to find the LCM of 24, 15 and 36 and then divide 6 digits number 999999 by the LCM and subtract the remainder from 6 digit number 999999.
• L.C.M of 24, 15 and 36 = 360.
• Hence, 999720 is the greatest number of 6 digits exactly divisible by 24, 15 and 36.

Now, to be the smallest number of six digits, the number must be greater than (316.232) and it’s square root must be an integer. Now the nearest integer to 316.23 that is greater than itself is 317. So, the answer is 100489.

∴ 100489 is least number of six digit which is perfect square.

998001 is the largest six – digit number that is a perfect square. It is the square of 999, which means, (999)2 = 998001.

If we will add 18 and form a perfect square, it will lead to a 3-digit number. Thus, we will subtract 18 from the number. Thus, we get that 81 is the greatest number of two digits which is a perfect square.

Therefore we can say that the square of 99 is the number which gives the greatest four digits number. And therefore 9801 is the greatest four digit number which is a perfect square.

A: No, the number 9,261 is not a perfect square.

9999

Yes, the number 9,801 is a perfect square.

Since 3891 is not a perfect square, it is an irrational number.

(i) 9801 – Here, the last digit is 1. So, its square root can have 1 or 9 as its unit digit. (ii)99856 – Here, the last digit is 6. So, its square root can have 4 or 6 as its unit digit.

The square root of 9801 is 99.

123

999

A: Yes, the number 998,001 is a perfect square.

25645

Answer Expert Verified We observe that 79^2 > 6203. Hence the number to be added to 6203 is 6241 – 6203 = 38. = 79. Therefore 38 should be added to 6203 to obtain a perfect square.

6

Answer. Answer: 1024 is square of 64 so 9 shud atleast be added to obtain a perfect sq.

Answer: The least number that you can add to 7344 to make it a perfect square is 52 whereas the least number you can add to 6203 to make it a perfect square is 38.