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How do you simplify $\sqrt{45 x^{2}}$ $sqrt(45x^2)$ ?

1 Answer

Jul 7, 2015

$\sqrt{45 x^{2}} = 3 | x | \sqrt{5}$ $sqrt(45x^2) = 3abs(x)sqrt(5)$

Explanation:

$\sqrt{45 x^{2}}$ $sqrt(45x^2)$
$XXXX$ $color(white)("XXXX")$ $= \sqrt{3^{2} \cdot 5 \cdot x^{2}}$ $=sqrt(3^2*5*x^2)$

$XXXX$ $color(white)("XXXX")$ $= \sqrt{3^{2}} \cdot \sqrt{5} \cdot \sqrt{x^{2}}$ $= sqrt(3^2)*sqrt(5)*sqrt(x^2)$

$XXXX$ $color(white)("XXXX")$ $= 3 \cdot \sqrt{5} \cdot | x |$ $= 3 * sqrt(5) *abs(x)$

$XXXX$ $color(white)("XXXX")$ $= 3 | x | \sqrt{5}$ $= 3abs(x)sqrt(5)$

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