for anyone having trouble in roots in maths

1. OUR OWN ENGLISH HIGH SCHOOL, SHARJAH
A GEMS SCHOOL (MAIN CAMPUS)
MATHEMATICS WORKSHEET -2
SQUARE ROOTS AND CUBE ROOTS
GRADE; V111
1. If √ x = x, find the value of x.
2. Find√ √ .
3. If
√
= 15 find x
4. If √ = 1 + find x
5. Find the value of √
6. Find the Pythagorean triplet whose smallest member is 12.
7. Find the least perfect square divisible by each one of 8, 9 and 10.
8. The students of a class arranged a picnic. Each student contributed as many rupees as the
number of students in the class. If the total contribution is Rs. 1156, find the strength of the
class.
9. If the cube root of 1728 is 12, what is the cube root of 1.728?
10. Find the decimal fraction which when multiplied by itself gives 176.252176.
11. Ranjit makes a cuboid of plasticine of sides 5cm, 2cm and 5cm. How many such cuboids will
he need to form a cube?
13. The volume of a cube is 12.167 cu.cm. Find the length of its edge.
14. Evaluate 286225 and hence find 2862.25 + 28.6225 - 0.286225
15. Evaluate : (i) 3 1024 x 4 (ii) 3 -1944 x 3

2. 16. A metallic cuboid measuring 45cm x 15cm x 5cm is melted and a single cube is formed.
Determine the edge of the new cube formed.
17. Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the numbers.
18. A metallic cuboid of dimensions 4 cm x 6 cm x 8 cm is melted and some more metal is
added to make it a cube whose side is an integer. What is the minimum volume of the metal
added and what is the side of the cube?
19. A battalion of soldiers wanted to have a parade forming a square design with 1536 soldiers.
(i) Is it possible? If not, how many more soldiers are need for this arrangement?
(ii) If two adjacent soldiers are standing 2 m apart, what is the area covered by these soldiers in
the square design?
20. Find the square root of 52
– 32
21. Find the smallest five digit number which is a perfect square.
22. Simplify: 3636.09 + 2862.25
3636.09 - 2862.25