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How many numbers lie strictly between the squares $8^{2}$ and $9^{2}$ (not counting 64 and 81)?

Class 8Properties of Square NumbersSquares and Roots

A15
B32
C17
D16

Step-by-Step Solution

Between

n^{2}

and

(n + 1)^{2}

there are

2 n

non-square numbers. Here

n = 8

, so

2 \times 8 = 16

.

Answer: D) 16

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