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Q.

The square root of $1764$ is:

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a

42

b

82

c

76

d

14

answer is A.

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Detailed Solution

Given number is 1764.
Writing the prime factors of 1764:

1764 = 2 \times 2 \times 3 \times 3 \times 7 \times 7

Taking square root,

\sqrt{1764} = \sqrt{2 \times 2 \times 3 \times 3 \times 7 \times 7}

\sqrt{1764} = 2 \times 3 \times 7

\sqrt{1764} = 42

Thus the square root of

1764

is

42

.
Therefore, option (1) is correct.

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The square root of 1764 is: