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• Smart Learning for All.

• Square Root Tricks.

• For finding square root of complete squares, we must memorize the squares of numbers 1 to 9.

• Squares of 1 and 9 have 1 in the units place.

• Squares of 2 and 8 have 4 in the units place.

• Squares of 3 and 7 have 9 in the units place.

• Squares of 4 and 6 have 6 in the units place.

• Squares of 5 have 5 in the units place.

• We use these facts to find square roots.

• Find the square root of 784.

• Divide the given number into two groups such that.

• Tens and units digits are in one group.

• Remaining digits are in the other group.

• Two groups of 784 will be 7 and 84.

• 7 helps us to find the tens place digit of the square root.

• 7 lies between the squares 4 and 9.

• Square root of smaller number 4, that is, 2 is the tens place digit of the square root.

• The remaining group, that is, 84 helps us to find the units place digit of the square root.

• Units place digit of 784 is 4.

• For units place digit of the square root, there are two possibilities, 2 and 8.

• Choose the correct digit out of 2 and 8.

• Multiply the tens place digit of the square root, that is, 2 by its successor 3.

• 2 into 3 is equal to 6.

• 7 is greater than 6.

• Thus, choose the greater of 2 and 8.

• Therefore square root of 784 is 28.

• Let us take another example.

• Find the square root of 1849.

• Its two groups are 18 and 49.

• 18 lies between 16 and 25.

• Thus, tens place digit is 4.

• Units place digit is either 3 or 7.

• Now, 4 into 5 is equal to 20 and 18 is less than 20.

• Therefore, smaller of the two, that is, 3 is the units place digit.

• Therefore, square root of 1849 is 43.

• The End.

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# Square Root Tricks | #aumsum

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AumSum posted on 2019/04/15
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