Question

*When finding the square root of 49 using repeated subtraction of odd numbers starting from 1, it takes 'n' steps to get 0. What is the value of 'n'?*

1️⃣ 6
2️⃣ 8
3️⃣ 5
4️⃣ 7​

Answer 1

Step-by-step explanation:

7×7=49

✓49=7

3×3=9=1+3+5

49=repeated addition of 7 concecutive odd number

n=7

Answer 2

4️⃣ 7​

49-1 =48 {first step}

48-3=45 {second step}

45-5=40. {third step}

40-7=33 { fourth step}

33-9= 24 {fifth step}

24-11=13. { sixth step}

13 -13=0 {seventh step}

We have subtract odd numbers from the given number.

So, we start with subtracting 1 from 49 which gives us48

Now, subtract 3 from 48 which is 45.

The process continues till we get the final answer as 0.

The square root of the integer will be determined by how many steps were required to complete this operation.

To get zero in this instance, we had to remove in 7 steps. Therefore, the number seven is the root of 49.

#SPJ3