Find the square root of $121$ using repeated subtraction.
Answer
327.9k+ views
Hint: Repeated subtraction is a method of subtracting the equal number of items from a larger group. It is also known as division. If the same number is repeatedly subtracted from another larger number until the remainder is zero or a number smaller than the number being subtracted, we can write that in the form of division. The square root of $121$ is the number which multiplied by itself will give $121$.
We are going to start subtracting the number $121$ with $1$ and then move on with the next odd number $3$ and so on,
Therefore,
$121 - 1 = 120$
Next odd number is $3$, we are going to take the resultant number from above step and subtract $3$,
Therefore,
$120 - 3 = 117$
Similarly,
$117 - 5 = 112$
$112 - 7 = 105$
$105 - 9 = 96$
$96 - 11 = 85$
$85 - 13 = 72$
$72 - 15 = 57$
$57 - 17 = 40$
$40 - 19 = 21$
$21 - 21 = 0$
As soon as we get zero, we stop the process and count the number of times the subtraction has taken place, in this case it is $11$.
Note: Make sure you count the number of steps correctly, because that is going to be the answer.
Therefore, $11$ is the square root of $121$.
We are going to start subtracting the number $121$ with $1$ and then move on with the next odd number $3$ and so on,
Therefore,
$121 - 1 = 120$
Next odd number is $3$, we are going to take the resultant number from above step and subtract $3$,
Therefore,
$120 - 3 = 117$
Similarly,
$117 - 5 = 112$
$112 - 7 = 105$
$105 - 9 = 96$
$96 - 11 = 85$
$85 - 13 = 72$
$72 - 15 = 57$
$57 - 17 = 40$
$40 - 19 = 21$
$21 - 21 = 0$
As soon as we get zero, we stop the process and count the number of times the subtraction has taken place, in this case it is $11$.
Note: Make sure you count the number of steps correctly, because that is going to be the answer.
Therefore, $11$ is the square root of $121$.
Last updated date: 28th May 2023
•
Total views: 327.9k
•
Views today: 3.85k
Recently Updated Pages
Paulings electronegativity values for elements are class 11 chemistry CBSE

For a particle executing simple harmonic motion the class 11 physics CBSE

Does Nichrome have high resistance class 12 physics CBSE

The function f satisfies the functional equation 3fleft class 12 maths JEE_Main

Write a letter to the Principal of your school to plead class 10 english CBSE

Look at the handout below Write a letter to the organizers class 11 english CBSE

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
