1. Evaluate √6084 by factorization
method.

2. Find the square root of 1471369

3. Evaluate √175.2976

4. Find the least square number which is
exactly divisible by 10, 12, 15 and 18.

5. Find the greatest number of five
digits which is a perfect square.

6. Find the smallest number that must be
added to 1780 to make it a perfect square.

7. Find the cube root of 2744.

8. By what least number must be
multiplied to 4320 obtain a number which is a perfect cube?

9. The least perfect square number
divisible by 3, 4, 5, 6 and 8 is:

10.
The
least perfect square, which is divisible by each of 21, 36 and 66 is:

11.
The
least number by which 294 must be multiplied to make it a perfect square is:

12.
Find
the smallest number by which 5808 should be multiplied so that the product
becomes a perfect square

13. The least number by which 1470 must
be divided to get a number which is a perfect square is

14. What is the smallest number to be
subtracted from 549162 in order to make it a perfect square

15.
What
is the least number which should be subtracted from 0.000326 to make it a
perfect square

16.
The
smallest number added to 680621 to make the sum a perfect square is:

17.
The
greatest four-digit perfect square number is :

18.
The
least number of 4 digits which is a perfect square is :

19.
A
man plants 15376 apple trees in his garden and arranges them so that there are
as many rows as there are apple trees in each row. The number of rows is:

20.
A
General wishes to draw up his 36581 soldiers in the form of a solid square.
After arranging them, he found that some of them are left over. How many are left?

21.
A
group of students decided to collect as many paise from each member of the
group as is the number of members. If the total collection amounts to Rs.
59.29, the number of members in the group is:

22.
The
largest four digit number which is a perfect cube is:

23.
By
what least number 675 be multiplied to obtain a number which is a perfect cube?

24.
What
is the smallest number by which 3600 be divided to make it a perfect cube?

25.
The
digit in the unit’s place in the square root of 15876 is:

26. How many two digit numbers satisfy
this property: The last digit (unit’s digit) of the square of the two-digit
number is 8?