PROBLEMS ON SQUARE ROOTS AND CUBE ROOTS WORKSHEET

Problem 1 :

If √1369 + √(0.0615) + x = 37.25, then x is equal to 

(a) 10^-1         (b) 10^-2           (c) 10^-3         (d) None

Solution

Problem 2 :

The sum of two numbers is 22 and the sum of their square is 404, then the product of the numbers is 

Solution

Problem 3 :

Solution

Problem 4 :

What is the value of in x in the following :

Solution

Problem 5 :

If 0.13 ÷ p² = 13, then p equals :

(a) 0.01    (b) 0.1    (c) 10    (d) 100

Solution

Problem 6 :

√3ⁿ = 729, then the value of n is

Solution

Problem 7 :

If √(18 ⋅ 14 ⋅ x) = 84, then x equals.

Solution

Problem 8 :

If 28√x + 1426 = 3/4 of 2872, then x equals.

Solution

Problem 9 :

If √x ÷ √441 = 0.02, then the value of x is :

Solution

Problem 10 :

If √(x - 1) (y + 2) = 7, x and y being whole numbers, then the values of x and y respectively are

(a)  8, 5   (b)  15, 12    (c)  22, 19    (d)  none

Solution

Problem 11 : 

If √(0.04 x 0.4 x a) = 0.004 x 0.4 x √b, then a/b is

Solution

Problem 12 :

Solution

Problem 1 :

Find the value of following cube roots:

x = ∛(27 × 2744)

Solution

Problem 2 :

Evaluate 

Solution

Problem 3 :

Two numbers 4x and 5x are such that sum of their cubes is 189. Find x.

Solution

Problem 4 :

The volume of a cube is 5832 m³, find the length of the side.

Solution

Problem 5 :

Three numbers are in the ratio  3 : 4 : 5. If the sum of their cubes -1728, find the three numbers.

Solution

Problem 6 :

Check whether 648 is a perfect cube or not.

Solution

Problem 7 :

Three numbers are to one another as 2:3:4. The sum of their cubes is 33957. Find the numbers.

Solution

Problem 8 :

Solution

Problem 9 :

If y = 5, then what is the value of 10y√(y³ - y²) ?

Solution

Problem 10 :

Solution