To find square root we subtract consecutive odd numbers from number till we obtain 0 square root total numbers subtracted let s take an examplesuppose we need to find 81square root of 8181 1 8080 3 7777 5 7272 7 6565 9 5656 11 4545 13 3232 15 1717 17 0since aft.
Square root of 225 by repeated subtraction method.
33 9 24.
221 5 216.
Basic methods of finding a square root repeated subtraction method.
Every natural number squared can be written as the sum of consecutive odd natural numbers starting from zero.
17 17 0.
The result 0 is obtained in the 7th step.
32 15 17.
2 2 4 and 2 2 4.
So for finding square root we start subtraction from 1 and continue until it reaches zero.
5 when multiplied by 2 gives 10 as a result.
49 1 48.
Example 1 find the square root of 144 by the subtraction method.
Let us find the square root of 81 by repeated subtraction method.
When 25 is multiplied by 25 we get 25 as a result.
First check whether the given number is a perfect square number or not.
13 13 0.
225 1 224 step 2.
Find the square root of 49 using the repeated subtraction method.
224 3 221 step 3.
Finding the square root of a number by repeatedly subtracting successive odd numbers from the given square number till you get zero is known as repeated subtraction method.
The number of steps to reach zero is the square root.
40 7 33.
Since a square root of a number must equal that number when multiplied by itself.
45 13 32.
1 cannot have a square root at least not a real one because any two numbers with the same sign positive or negative when multiplied will equal a positive number.
48 3 45.
80 3 77.
24 11 13.
45 5 40.
81 1 80.
Two same square roots are multiplied to give a non square root number.
Square root of 81 by repeated subtraction.
65 9 56 56 11 45.
77 5 72.
The steps to find the square root of 49 is.
Find square root of 225 by repeated subtraction method.
Hence the square root of 49 49 is 7.
Two square roots can be multiplied.