Kabir builds steps using square arrangements of tiles. The difference between two consecutive square numbers is always an odd number (2n + 1). If the difference between a square and the next square is 39, what is the smaller of the two numbers being squared?

Question

Accepted Answer

19. (n+1)^2 - n^2 = 2n + 1 = 39, so 2n = 38, n = 19. (19^2 = 361, 20^2 = 400, difference 39.)

Kabir builds steps using square arrangements of tiles.
The difference between two consecutive square numbers is always an odd number $(2 n + 1)$ .
If the difference between a square and the next square is 39, what is the smaller of the two numbers being squared?

Step-by-Step Solution

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More Class 8 Properties of Square Numbers practice

Kabir builds steps using square arrangements of tiles.The difference between two consecutive square numbers is always an odd number (2n+1).If the difference between a square and the next square is 39, what is the smaller of the two numbers being squared?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Square Numbers practice

Kabir builds steps using square arrangements of tiles.
The difference between two consecutive square numbers is always an odd number $(2 n + 1)$ .
If the difference between a square and the next square is 39, what is the smaller of the two numbers being squared?