Square root of 3600

The square root is the number that gives the original number when squared. 

√3600 = 60, in exponential form it is written as√3600 = 3600^1/2=60. 

In this article we will learn more about the square root of 3600, how to find it and common mistakes one may make when trying to find the square root. 
 

To find the square root of a number of students learn many methods. When a number is a perfect square and the process of finding the square root is simple. 
 

Step 1: prime factorize 

3600 = 2⁴×3²×5²

Step 2: group the factors 

√3600 = √(24×32×52) 

Step 3: find the product of factors to find the square root 

 22×3×5 = 60 
 

Step 1: Pair 3600 as shown 

3600 → (36)(00) 

Step 2: pick a number whose square is ≤ 36, 6²=36 

— 6 is quotient. 

— Subtract the numbers, 36-36=0. 

— numbers 00 are to be brought down next to the remainder. 

Step 3: double quotient, use it as new divisor’s first digit

— Double 6.

— Now find the digit x in a way that 12x×x = 00 

— x is 0, 120×0 = 0.

Step 4: find the final quotient 

— The quotient is 60, the square root of √3600

The result; √3600 = 60
 

Step 1: Start subtraction of consecutive odd numbers starting from 1 from 3600.

Step 2: Maintain a count of the number of the subtractions performed

3600-1= 3599

3599-3 =3596

3596-5=3591

3591-7=3584

Step 3: Continue the subtraction until the remainder is 0.

After performing 60 subtractions, the remainder is 0. The square root of the number is 60. 

The result; √3600 = 60
 

• Prime numbers —  a number whose factors are itself and 1 

• Integer — A number between zero and infinite, that can be in any form; positive or negative, whole or decimal

• Perfect square number — a number whose square root has no decimal places 

• Non-perfect square numbers — number or an integer which has a decimal square root