The teacher writes that for any perfect square, the number of odd numbers added in sequence 1 + 3 + 5 + ... gives the square. Using this idea, 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. What is the square root of 49?

Question

Accepted Answer

7. The sum of the first n odd numbers equals n^2. Here 7 odd numbers are added, so the sum is 7^2 = 49 and √49 = 7.

The teacher writes that for any perfect square, the number of odd numbers
added in sequence 1 + 3 + 5 + ... gives the square. Using this idea,
1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. What is the square root of 49?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Finding Square Roots practice

The teacher writes that for any perfect square, the number of odd numbersadded in sequence 1 + 3 + 5 + ... gives the square. Using this idea,1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. What is the square root of 49?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Finding Square Roots practice

The teacher writes that for any perfect square, the number of odd numbers
added in sequence 1 + 3 + 5 + ... gives the square. Using this idea,
1 + 3 + 5 + 7 + 9 + 11 + 13 = 49. What is the square root of 49?