Question

Find the square root of 144 by prime fractions method.

• A. 12
• B. 11
• C. 10
• D. 9

Answer 1

The correct option is A 12

We can use the Prime Factorization Technique to solve for the Square root of $144$

$144=2\times 72$

$=2\times 2\times 36$

$=2\times 2\times 2\times 18$

$=2\times 2\times 2\times 2\times 9$

$=2\times 2\times 2\times 2\times 3\times 3$

$\Rightarrow$ $144=2\times 2\times 2\times 2\times 3\times 3$

$\Rightarrow$ $144=2^4\times 3^2$

$\Rightarrow$ $\sqrt{144}=\sqrt{2^4\times 3^2}$

$\Rightarrow$ $\sqrt{144}=2^2\times 3$

$\Rightarrow$ $\sqrt{144}=4\times 3$

$\Rightarrow$ $\sqrt{144}=12$