Test: Squares And Square Roots- 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

The square of 60 is 3600. Therefore, the number of zeroes is 2. 

Between 9² and 10²
Here, n = 9 and n + 1 = 10
∴ Natural number between 9² and 10² are (2 × n) or 2 x 9, i.e. 18.

(40-1)² = 1600+1-80 = 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 of squaring a number is square root. 

Since we have 72=49 and 82=64.There is no perfect square between 50 and 60.

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

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.

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 of 400 = 160000

Hence, the number of zeroes is 4 

∛(5400 x 5) = 30

The square of 7 is the largest number between 4 to 50.

Total consecutive odd numbers = 10

Thus n = 10

Therefore sum = n × n

= 10× 10 = 100

Square root of 529 is 23