Square Root Calculator

• Step 1:

  Divide the given number by its prime factor.

• Step 2

  Make pairs of similar factors

• Step 3:

  From each pair take one factor and multiply them this will give you the square root of the given number.

• Example: Lets find the square root of 100.

  Prime Factorization of 100 = 2 x 2 x 5 x 5;
  Take 2 and 5 from the pairs.Product of 2 and 5 is the square root of 100.
  so 10 is the square root of 100.

• Step 1:

  This is used only if the number is perfect square.Subtract the consecutive odd numbers from the given number.

• Step 2:

  Subtract till you get diference as 0.

• Step 3:

  Number of times we subtract will be the square root of the given number.

• Example:Square root of 36.

• 36 - 1 = 35
• 35 - 3 = 31
• 31 - 5 = 29
• 29 - 7 = 22
• 22 - 9 = 11
• 11 - 11 = 0

Since we subtracted for 6 times ,So 6 is the square root of 36.

• Step 1

  Separate the given number from right to left with two digit in a seperation.

• Step 2

  Now think of a perfect square number that is closest to the first pair in the left side and divide the given number with that number.

• Step 3:

  Bring down the remainder along with the next pair, and multiply the previous quotient by 2 and bring it down.

• Step 4:

  Repeat step 2 and step 3 untill you get the remainder as zero.If necessary we can add decimal to get zero at the end.

• Long division Flow

• Step 1:

  Write the prime factorization of the given number inside the radical.

• Step 2:

  Pair each number and take them out from the square root.

• Step 3:

  Leave the number insode the root that dont have pair.Multiply the number that are taken from the root and the number with the root.

• Example:Square root of 32.

  Prime factorization of √32 is √2 x 2 x 2 x 2 x 2 = 2 x 2 √2

  Square root of 32 is 4√2