Question

How many square numbers lie between 1 to 200

Answer 1

Answer:

10 squares

Step-by-step explanation:

Concept behind finding number of square is:

Sum up odd numbers in following manner:

1 (square of 1)

1+3 = 4 (square of 2)

1+3 +5 = 9 (square of 3)

1+3 +5 +7 = 16 (square of 4)

1+3 +5 +7 +9 = 25 (square of 5)

1+3 +5 +7 +9 +11 = 36 (square of 6)

1+3 +5 +7 +9 +11 +13 = 49 (square of 7)

1+3 +5 +7 +9 +11 +13 +15 = 64 (square of 8)

1+3 +5 +7 +9 +11 +13 +15+17 = 81 (square of 9)

1+3 +5 +7 +9 +11 +13 +15+17+19 = 100 (square of 10)