Question

The number 16777216 is the square of which one of
the following number?
(A) 4276
(B) 4096
(C) 4086
(D) 5006
(E) None of these






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Answer 1

For Finding '16,777,216' is the square of which number, we need to find out its square root.

For Finding the value of √(16777216):

The factors of 16777216 are:

(2)²⁴

And, therefore, the square root of 16777216 is given by:

$\sqrt{16777216} = \sqrt{(2) {}^{24} } </h3><h3></h3><h3>$

$\sqrt{(2) {}^{24} } = \sqrt{(2) {}^{12} \times (2) {}^{12} }$

$\sqrt{16777216</h3><h3></h3><h3>} = (2) {}^{12} = 4096$

Therefore, the square root of 16777216 is 2×2×2×2×2.... (12times), which is equal to 4096 upon calculation.

Therefore,

★Answer★

(B) 4096

And, thus, 16777216 is the square of 4096. i.e., (16777216)=(4096)²