How do you simplify $10^{3} \sqrt{72}$ $10^3sqrt72$ ?

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Answer 1 · 2015-07-30T17:09:23

$= 6000 \sqrt{2}$ $=color(blue)(6000sqrt2$

$10^{3} \sqrt{72}$ $10^3sqrt(72)$

Prime factorising 72

$\sqrt{72} = \sqrt{3 \cdot 3 \cdot 2 \cdot 2 \cdot 2}$ $sqrt(72)=sqrt(3*3*2*2*2)$

$\sqrt{72} = \sqrt{3^{2} \cdot 2^{2} \cdot 2}$ $sqrt(72)=sqrt(3^2 *2^2 *2)$

$\sqrt{72} = 6 \sqrt{2}$ $sqrt(72)=color(blue)(6sqrt(2)$

So,
$10^{3} \sqrt{72} = 10^{3} (6 \sqrt{2})$ $10^3sqrt(72) = 10^3(color(blue)(6sqrt(2)))$

$= 1000 \cdot 6 \sqrt{2}$ $=1000*6sqrt2$

$= 6000 \sqrt{2}$ $=color(blue)(6000sqrt2$

How do you simplify 103√7210^3sqrt72?