MathsSquare and Square RootsSquare RootsSquare Root – Long Division Method (Part 2)

Square Root – Long Division Method (Part 2)

Table of Contents

  • Long Division Method – Example
  • What’s Next?

In the previous segment, we learnt about the long division method to find square roots. In this segment, we will solve another example using the same method,

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    Example

    Q. Find the square root of 6084.

    Solution:

    Step 1: Write the division.

    Step 2: Mark pairs of digits from the units end. The pairs are 84 and 60.

    Step 3: Find the perfect square equal to or lower than the first pair from the left. The first pair is 60.

    49 is a perfect square and 49 ≤ 60.

    49 = 72

    Step 4: Multiply above and add below.

    7 × 7 = 49

    7 + 7 = 14

    Step 5: Draw a box next to the sum and subtract the product from the number above it. 60 – 49 = 11

    Step 6: Bring the next pair down. The next pair is 84.

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