Square root of 104

The square root of 97 is approximately ±10.198

The square root of 104 is written as √104 in radical form. In exponential form, it is written as (104)^1/2
 

We can find the square root of 104 through various methods. They are:

i) Prime factorization method

ii) Long division method

iii) Approximation/Estimation method
 

To find the square root of 104 through the Prime Factorization method, there are various steps involved in the process:

Step 1: To find the square root of 104, first express it in its prime factors. 

Here, 104 = 2×2×2×13 

Step 2: Simplify the factors further 

104 = 23 × 13

Step 3: Apply root on both sides

√104 = √(2×13)

√104 = 2√26 

2√26 = 10.198

Therefore, the square root of √104 = 10.198
 

Finding a square root of 104 by long division method consists of the following steps:

Step 1: Pair the digits by putting a bar above. Starting from the right, we will pair 04 and 1 separately. We will also pair the zeros in decimals in pairs of 2 from left to right.

Step 2: Find a number, when multiplied by itself, gives a product less than or equal to 1. Here it's 1, so place 1 in the quotient and the divisor place will result in the remainder 0.

Step 3: Bring down 4 beside the remainder 0, add the divisor to itself and write it below. 1+1=2  

Step 4: Find the remainder and bring down the pair of 0s from the decimal part of the number. Adding X to the divisor, the new divisor remains 20. 

Step 5: Repeat the process to get the decimal places you want 

Therefore, the √104 = 10.198 
 

Steps to find the square root of 104 by approximation method are:

Step 1: First identify the perfect squares around 104. 

We know that 

10² = 100

11² = 121

So √104 is between 10 and 11. 

Step 2: Since 104 is closer to 100 than 121, we can start by estimating a bit above 10. Let us go with 10.2
10.2×10.2 = 104.04, which is close to 104.  

Step 3: To get a more precise value, we can continue with more decimal places
10.19² = 103.8361, it is slightly less than 104. 

Step 4: Try 10.20

10.20² = 104.04, which is very close to 104. 

Thus, the √104 is approximately 10.198
 

• Velocity:It is a measure of how fast something is moving in a specific direction. 

• Prime factors:Prime factors are the prime numbers that multiply together to give the original number.