What is the square root of 144?

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Answer 1 · 2015-04-14T07:30:24

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

$144 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3$ $144 = 2 * 2 * 2 * 2 * 3 * 3$
$144 = 2^{4} \cdot 3^{2}$ $144 = 2 ^ 4 * 3 ^2$

$\sqrt{144} = \sqrt{2^{4} \cdot 3^{2}}$ $sqrt 144 = sqrt(2^4 * 3^2)$

$= \sqrt{{(2^{2})}^{2} \cdot 3^{2}}$ $= sqrt ((2^2)^2 * 3^2)$

$= 2^{2} \cdot 3$ $= 2^2 * 3$

$= 4 \cdot 3$ $= 4*3$

$= 12$ $= 12$

$\sqrt{144} = 12$ $color(green)(sqrt 144 = 12$