Test: Squares And Square Roots- 2 - Class 8 MCQ

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.

Total consecutive odd numbers (n) = 7 

We know that, Sum = n²

= 7²

= 49

Hence, the correct answer is 49 

The square of 400 is calculated as follows:

400² = (4 × 10²)²

This can be broken down into:

• 4² × (10²)²
• 16 × 10,000

Thus, the final result is:

160,000

The number 160,000 contains four zeros. Therefore, the correct answer is A.

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

LCM of 2,4,6= 2×1×2×3=12
Least perfect square which is a multiple of 12 is 36.

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

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

To determine which number has a units digit of 6 when squared, we evaluate each option:

• A) 19² = 361 (units digit is 1)
• B) 11² = 121 (units digit is 1)
• C) 24² = 576 (units digit is 6)
• D) 13² = 169 (units digit is 9)

Only option C meets the criteria, so the correct answer is C.

The square of the numbers are

(66)² = 4356

(67)² = 4489

(68)² = 4624

So, the least number to be added = 4624 - 4523 = 101

Hence, the correct answer is "101".

The square root of 729 is 27.

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. 

- To find the natural numbers between 9² and 10², first calculate the squares:
- 9² = 81
- 10² = 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.

the given numbers are 10 consecutive odd numbers 
therefore the answer will be square of 10 = 100

• A square root of a number is a value that, when multiplied by itself, equals that number.
• Check: 12 × 12 = 144.
• Other choices give wrong products (10×10=100, 14×14=196, 21×21=441).
• Therefore, the only correct option is 12.

The perfect squares between 4 and 50 are:

• 9 (3 x 3)
• 16 (4 x 4)
• 25 (5 x 5)
• 36 (6 x 6)
• 49 (7 x 7)

Among these, the largest is 49.

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.

By division method we find the root of 9999 and we get the remainder 198.So subtracting 198 from 9999 we get 9801 as the greatest 4-digit perfect square. 

Square root of 529 is 23

Let the number of rows be x
Thus, the each row contains x plants.
The total number of plants in the garden = number of rows × number of plants in each rows
Thus,
   2025=x×x
=>x² =2025
=>x=  3×3×3×3×5×5
​       =3×3×5
        =45
Thus, there are 45 rows and each row contains 45 plants.

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.