Squares, Square Roots, Cubes, Cube Roots Test-2

Square of 75 is 5625 square of 74 is 5476 so use must get 5476

5607 - x is 5476

x is 131

Square root of 5476 is 74

To determine the number of zeros in the square of 60, first calculate 60² .

Calculating step-by-step:

• 60 × 60 = 3600

The result is 3600, which contains two zeros. Therefore, the number of zeros in the square of 60 is 2 .

- To find the natural numbers between 9 ²and 10 ², first calculate the squares:
- 9 ²= 81
- 10 ²= 100
- The natural numbers between 81 and 100 are:
- 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99
- There are 18 natural numbers in total.
- Thus, the correct answer is 18.

To find the square of 39, we can use the algebraic identity:

(a - b)² = a² - 2ab + b²

Let’s take:

• a = 40
• b = 1

Now, substituting these values into the identity:

(40 - 1)² = 40² - 2 * 40 * 1 + 1²

Calculating each term gives:

• 40² = 1600
• - 2 * 40 * 1 = -80
• 1² = 1

Putting it all together:

1600 - 80 + 1 = 1521.

Total consecutive odd numbers (n) = 7  

We know that, Sum = n²

= 7²

= 49

Hence, the correct answer is 49  

The  square root of 729  is 27.

If a number has 1 or 9 in the unit ’s place, then it ’s square ends in 1

According to the Property 1, A number having 2, 3, 7 or 8 at it 's unit 's place is never a perfect square. In other words, no square number ends in 2, 3, 7  or 8. 

The inverse operation of squaring a number (raising it to the power of 2) is taking its square root , which returns the original number.

Since we have 7² =49 and 8² =64. And both numbers lies outside 50 and 60 There is no perfect square between 50 and 60.