Question

The number 16777216 is the square of which one of<br />the following number?<br />(A) 4276<br />(B) 4096<br />(C) 4086<br />(D) 5006<br />(E) None of these<br /><br /><br /><br /><br /><br /><br />$\huge{\fbox{\fbox{\orange{\mathfrak{Explanation\:Required}}}}}$<br /><br /><br />$\huge\purple{\underbrace{\overbrace{\ulcorner{\mid{\overline{\underline{No\:Spam}}}}}}}$​

Answer 1

Answer:

please Mark as a brainlist you meri jan

Step-by-step explanation:

$\sqrt{16777216} = 4096 \\ please \: mark \: as \: a \: brainlist$

Answer 2

★Answer★

(B) 4096

Step-By-Step Explanation:

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:

(2×2×2×2×2×2×2×2×

2×2×2×2×2×2×2×2×2×2×2×2×2×2×2×2)

=(2)²⁴

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

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

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

$\sqrt{16777216} = (2) {}^{12} = 4096$

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

Therefore,

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