Question

Find the square root of 256

• A. 12
• B. 16
• C. 32
• D. 24

Answer 1

The correct option is B

16

Square root of 256 equals to $\sqrt{256}$

$\sqrt{256}$

$=\sqrt{2\times 128}$

$=\sqrt{2\times 2\times 64}$

$=\sqrt{2\times 2\times 2\times 32}$

$=\sqrt{2^4\times 2\times 8}$

$=\sqrt{2^4\times 2\times 2\times 4}$

$=\sqrt{2^4\times 2^4}$

$=2^2\times 2^2$

$=4\times 4$

$=16$