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State True/False:
The square of the number 32 will be 1024.

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True

False

answer is A.

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Detailed Solution

Given a statement as, the square of the number 32 will be 1024.
Finding the square of 32:
Converting the integer:

32 = 30 + 2 a = 30 b = 2

square of a:
30

×

30 = 900
square of b:
2

×

2 = 4
Combining all the four values of

a 2, b 2, a and b

The equation is,

a + b 2 = a 2 + 2 a b + b 2

Solving,

322 = 302 + (2 × 30 × 2) + 22 ⇒ 322 = 900 + 120 + 4 ⇒ 322 = 1024

Hence, the given statement is true.
Therefore, option 1 is correct.

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